# Quizbank/Bell/152874216202

< Quizbank‎ | Bell

Bell152874216202

### Bell:Bell1:V0

Bell152874216202

1) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 6
b) 5
c) 4
d) 3
e) 2

2) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

a) lose 1 point
b) win 1 point
c) win 3 points
d) be disqualified for cheating
e) lose 3 points

3) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

a) K♠ and K♣
b) two of these are true
c) none of these are true
d) K and K♣
e) K and K♠

4) If you play the solitaire game 3 times, you will on average win ___ times.

a) 5
b) 3
c) 2
d) 4
e) 1

5) The normal distribution (often called a "bell curve") is usually skewed

a) True
b) False

6) The binomial distribution results from observing n outcomes, each having a probability p of "success"

a) True
b) False

7) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 18
b) 3
c) 9
d) 6
e) 2

8) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?

a) 1/6
b) 5/6
c) 3/6
d) 2/6
e) 4/6

9) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle 1}$ what is the length of each side?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle 1}$
c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
d) ${\displaystyle 2{\sqrt {2}}}$
e) ${\displaystyle {\sqrt {2}}}$

10) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

a) 8mW
b) 4mW
c) 6mW
d) 3mW
e) 9mW

### KEY:Bell:Bell1:V0

Bell152874216202

1) If you play the solitaire game 6 times, you will on average lose ___ times.

-a) 6
-b) 5
-c) 4
-d) 3
+e) 2

2) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

-a) lose 1 point
+b) win 1 point
-c) win 3 points
-d) be disqualified for cheating
-e) lose 3 points

3) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

-a) K♠ and K♣
-b) two of these are true
-c) none of these are true
+d) K and K♣
-e) K and K♠

4) If you play the solitaire game 3 times, you will on average win ___ times.

-a) 5
-b) 3
+c) 2
-d) 4
-e) 1

5) The normal distribution (often called a "bell curve") is usually skewed

-a) True
+b) False

6) The binomial distribution results from observing n outcomes, each having a probability p of "success"

+a) True
-b) False

7) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 18
-b) 3
-c) 9
-d) 6
+e) 2

8) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?

-a) 1/6
-b) 5/6
+c) 3/6
-d) 2/6
-e) 4/6

9) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle 1}$ what is the length of each side?

-a) ${\displaystyle {\tfrac {1}{2}}}$
-b) ${\displaystyle 1}$
+c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-d) ${\displaystyle 2{\sqrt {2}}}$
-e) ${\displaystyle {\sqrt {2}}}$

10) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

-a) 8mW
-b) 4mW
-c) 6mW
-d) 3mW
+e) 9mW

### Bell:Bell1:V1

Bell152874216202

1) If you play the solitaire game 3 times, you will on average win ___ times.

a) 1
b) 5
c) 2
d) 3
e) 4

2) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

a) win 1 point
b) win 3 points
c) lose 3 points
d) lose 1 point
e) be disqualified for cheating

3) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle 1}$ what is the length of each side?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
c) ${\displaystyle 2{\sqrt {2}}}$
d) ${\displaystyle {\sqrt {2}}}$
e) ${\displaystyle 1}$

4) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

a) none of these are true
b) K and K♠
c) K♠ and K♣
d) K and K♣
e) two of these are true

5) The normal distribution (often called a "bell curve") is usually skewed

a) True
b) False

6) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?

a) 3/6
b) 2/6
c) 1/6
d) 4/6
e) 5/6

7) The binomial distribution results from observing n outcomes, each having a probability p of "success"

a) True
b) False

8) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 3
b) 6
c) 2
d) 9
e) 18

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

a) 4mW
b) 8mW
c) 3mW
d) 6mW
e) 9mW

10) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 3
b) 5
c) 2
d) 4
e) 6

### KEY:Bell:Bell1:V1

Bell152874216202

1) If you play the solitaire game 3 times, you will on average win ___ times.

-a) 1
-b) 5
+c) 2
-d) 3
-e) 4

2) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

+a) win 1 point
-b) win 3 points
-c) lose 3 points
-d) lose 1 point
-e) be disqualified for cheating

3) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle 1}$ what is the length of each side?

-a) ${\displaystyle {\tfrac {1}{2}}}$
+b) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-c) ${\displaystyle 2{\sqrt {2}}}$
-d) ${\displaystyle {\sqrt {2}}}$
-e) ${\displaystyle 1}$

4) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

-a) none of these are true
-b) K and K♠
-c) K♠ and K♣
+d) K and K♣
-e) two of these are true

5) The normal distribution (often called a "bell curve") is usually skewed

-a) True
+b) False

6) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?

+a) 3/6
-b) 2/6
-c) 1/6
-d) 4/6
-e) 5/6

7) The binomial distribution results from observing n outcomes, each having a probability p of "success"

+a) True
-b) False

8) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 3
-b) 6
+c) 2
-d) 9
-e) 18

9) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

-a) 4mW
-b) 8mW
-c) 3mW
-d) 6mW
+e) 9mW

10) If you play the solitaire game 6 times, you will on average lose ___ times.

-a) 3
-b) 5
+c) 2
-d) 4
-e) 6

### Bell:Bell1:V2

Bell152874216202

1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?

a) 4/6
b) 5/6
c) 1/6
d) 3/6
e) 2/6

2) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle 1}$ what is the length of each side?

a) ${\displaystyle 1}$
b) ${\displaystyle {\tfrac {1}{2}}}$
c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
d) ${\displaystyle {\sqrt {2}}}$
e) ${\displaystyle 2{\sqrt {2}}}$

3) The binomial distribution results from observing n outcomes, each having a probability p of "success"

a) True
b) False

4) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

a) win 1 point
b) be disqualified for cheating
c) lose 1 point
d) lose 3 points
e) win 3 points

5) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

a) 8mW
b) 4mW
c) 9mW
d) 3mW
e) 6mW

6) If you play the solitaire game 3 times, you will on average win ___ times.

a) 3
b) 2
c) 4
d) 1
e) 5

7) The normal distribution (often called a "bell curve") is usually skewed

a) True
b) False

8) If you play the solitaire game 6 times, you will on average lose ___ times.

a) 6
b) 5
c) 4
d) 3
e) 2

9) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 9
b) 18
c) 3
d) 6
e) 2

10) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

a) two of these are true
b) K and K♠
c) K♠ and K♣
d) K and K♣
e) none of these are true

### KEY:Bell:Bell1:V2

Bell152874216202

1) What is the probability of success, p, for a binary distribution using a six-sided die, with success defined as "two"?

-a) 4/6
-b) 5/6
-c) 1/6
+d) 3/6
-e) 2/6

2) If the hypotenuse of a 45°-45° right triangle has a length of ${\displaystyle 1}$ what is the length of each side?

-a) ${\displaystyle 1}$
-b) ${\displaystyle {\tfrac {1}{2}}}$
+c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-d) ${\displaystyle {\sqrt {2}}}$
-e) ${\displaystyle 2{\sqrt {2}}}$

3) The binomial distribution results from observing n outcomes, each having a probability p of "success"

+a) True
-b) False

4) Your solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣, you would__

+a) win 1 point
-b) be disqualified for cheating
-c) lose 1 point
-d) lose 3 points
-e) win 3 points

5) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. A 12 mW laser strikes a polarizing filter oriented 30° to the incoming axis of polarization. How much power passes the filter?

-a) 8mW
-b) 4mW
+c) 9mW
-d) 3mW
-e) 6mW

6) If you play the solitaire game 3 times, you will on average win ___ times.

-a) 3
+b) 2
-c) 4
-d) 1
-e) 5

7) The normal distribution (often called a "bell curve") is usually skewed

-a) True
+b) False

8) If you play the solitaire game 6 times, you will on average lose ___ times.

-a) 6
-b) 5
-c) 4
-d) 3
+e) 2

9) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 9
-b) 18
-c) 3
-d) 6
+e) 2

10) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

-a) two of these are true
-b) K and K♠
-c) K♠ and K♣
+d) K and K♣
-e) none of these are true

### Bell:Bell2:V0

Bell152874216202

1) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linear or elliptical
b) circular or elliptical
c) circular or linear
d) circular
e) linearly

2) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to always answer "even"
b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
c) Alice and Bob to always give different answers (one "even" while the other "odd")
d) Alice and Bob to always answer "odd"
e) None of these describes the β-strategy

3) Suppose both partners choose to answer "even" to any question that is asked. Why would such a strategy ever be adopted? (Assume for this question that ${\displaystyle Q>3}$)

a) One partner might announce that all answers will be "even", while the other is certain that the both question cards will have the same suit.
b) There is no reason for the partners to ever adopt this strategy
c) The partners might have cheated so much in the past that they need to lose a round.
d) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
e) Two of these reasons for this strategy might be valid

4) Suppose both partners choose to answer "even" to any question that is asked. What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

a) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
b) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
d) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
e) None of these is correct

5) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 1/4
b) 0
c) 1/2
d) 3/4
e) 1
6) This figure is associated with
a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
e) Evidence presented in 1800 that light is a wave.

7) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

a) decreases by 4 eV
b) increases by 4 eV
c) decreases by 2 eV
d) stays the same
e) increases by 2 eV
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
a) 3/4
b) 1/2
c) 5/4
d) 1
e) 0
f) 1/4
9) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) 0
b) −1/5
c) +2/5
d) −2/5
e) +1
f) +1/5
10) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
a) 1/2
b) 1
c) 0
d) 1/4
e) 3/4
f) 5/4

### KEY:Bell:Bell2:V0

Bell152874216202

1) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

-a) linear or elliptical
-b) circular or elliptical
-c) circular or linear
-d) circular
+e) linearly

2) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

-a) Alice and Bob to always answer "even"
-b) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
+c) Alice and Bob to always give different answers (one "even" while the other "odd")
-d) Alice and Bob to always answer "odd"
-e) None of these describes the β-strategy

3) Suppose both partners choose to answer "even" to any question that is asked. Why would such a strategy ever be adopted? (Assume for this question that ${\displaystyle Q>3}$)

-a) One partner might announce that all answers will be "even", while the other is certain that the both question cards will have the same suit.
-b) There is no reason for the partners to ever adopt this strategy
-c) The partners might have cheated so much in the past that they need to lose a round.
-d) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
+e) Two of these reasons for this strategy might be valid

4) Suppose both partners choose to answer "even" to any question that is asked. What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

+a) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
-b) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
-c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
-d) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
-e) None of these is correct

5) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

+a) 1/4
-b) 0
-c) 1/2
-d) 3/4
-e) 1
6) This figure is associated with
-a) The transfer of energy and momentum of a high energy photon of a nearly free electron.
+b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
-c) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
-e) Evidence presented in 1800 that light is a wave.

7) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

+a) decreases by 4 eV
-b) increases by 4 eV
-c) decreases by 2 eV
-d) stays the same
-e) increases by 2 eV
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
-a) 3/4
-b) 1/2
-c) 5/4
+d) 1
-e) 0
-f) 1/4
9) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) 0
+b) −1/5
-c) +2/5
-d) −2/5
-e) +1
-f) +1/5
10) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
-a) 1/2
-b) 1
-c) 0
+d) 1/4
-e) 3/4
-f) 5/4

### Bell:Bell2:V1

Bell152874216202

1) This figure is associated with
a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
b) Evidence presented in 1800 that light is a wave.
c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

2) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

a) decreases by 4 eV
b) increases by 2 eV
c) decreases by 2 eV
d) stays the same
e) increases by 4 eV
3) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
a) 1/2
b) 1/4
c) 3/4
d) 5/4
e) 0
f) 1

4) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to always give different answers (one "even" while the other "odd")
b) Alice and Bob to always answer "even"
c) None of these describes the β-strategy
d) Alice and Bob to always answer "odd"
e) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
5) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) 0
b) +1
c) +2/5
d) +1/5
e) −2/5
f) −1/5

6) Suppose both partners choose to answer "even" to any question that is asked. What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

a) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
b) None of these is correct
c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
d) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
7) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
a) 1/2
b) 1
c) 3/4
d) 5/4
e) 1/4
f) 0

8) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linear or elliptical
b) circular
c) linearly
d) circular or elliptical
e) circular or linear

9) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 1/4
b) 1
c) 1/2
d) 0
e) 3/4

10) Suppose both partners choose to answer "even" to any question that is asked. Why would such a strategy ever be adopted? (Assume for this question that ${\displaystyle Q>3}$)

a) The partners might have cheated so much in the past that they need to lose a round.
b) One partner might announce that all answers will be "even", while the other is certain that the both question cards will have the same suit.
c) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
d) Two of these reasons for this strategy might be valid
e) There is no reason for the partners to ever adopt this strategy

### KEY:Bell:Bell2:V1

Bell152874216202

1) This figure is associated with
-a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-b) Evidence presented in 1800 that light is a wave.
-c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
-d) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
+e) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf

2) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

+a) decreases by 4 eV
-b) increases by 2 eV
-c) decreases by 2 eV
-d) stays the same
-e) increases by 4 eV
3) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
-a) 1/2
+b) 1/4
-c) 3/4
-d) 5/4
-e) 0
-f) 1

4) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

+a) Alice and Bob to always give different answers (one "even" while the other "odd")
-b) Alice and Bob to always answer "even"
-c) None of these describes the β-strategy
-d) Alice and Bob to always answer "odd"
-e) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
5) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) 0
-b) +1
-c) +2/5
-d) +1/5
-e) −2/5
+f) −1/5

6) Suppose both partners choose to answer "even" to any question that is asked. What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

+a) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
-b) None of these is correct
-c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
-d) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
-e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
7) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
-a) 1/2
+b) 1
-c) 3/4
-d) 5/4
-e) 1/4
-f) 0

8) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

-a) linear or elliptical
-b) circular
+c) linearly
-d) circular or elliptical
-e) circular or linear

9) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

+a) 1/4
-b) 1
-c) 1/2
-d) 0
-e) 3/4

10) Suppose both partners choose to answer "even" to any question that is asked. Why would such a strategy ever be adopted? (Assume for this question that ${\displaystyle Q>3}$)

-a) The partners might have cheated so much in the past that they need to lose a round.
-b) One partner might announce that all answers will be "even", while the other is certain that the both question cards will have the same suit.
-c) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
+d) Two of these reasons for this strategy might be valid
-e) There is no reason for the partners to ever adopt this strategy

### Bell:Bell2:V2

Bell152874216202

1) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) +1
b) 0
c) −1/5
d) −2/5
e) +2/5
f) +1/5
2) This figure is associated with
a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
d) Evidence presented in 1800 that light is a wave.
e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

3) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

a) increases by 2 eV
b) stays the same
c) decreases by 4 eV
d) decreases by 2 eV
e) increases by 4 eV

4) Suppose both partners choose to answer "even" to any question that is asked. Why would such a strategy ever be adopted? (Assume for this question that ${\displaystyle Q>3}$)

a) Two of these reasons for this strategy might be valid
b) There is no reason for the partners to ever adopt this strategy
c) The partners might have cheated so much in the past that they need to lose a round.
d) One partner might announce that all answers will be "even", while the other is certain that the both question cards will have the same suit.
e) Both partners agree that there is a 90% chance that the two question cards will have the same suit.

5) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

a) Alice and Bob to always give different answers (one "even" while the other "odd")
b) None of these describes the β-strategy
c) Alice and Bob to always answer "even"
d) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
e) Alice and Bob to always answer "odd"

6) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

a) 1/4
b) 1
c) 3/4
d) 1/2
e) 0
7) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
a) 1
b) 5/4
c) 3/4
d) 1/4
e) 1/2
f) 0
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
a) 1/2
b) 1/4
c) 5/4
d) 0
e) 3/4
f) 1

9) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linearly
b) circular or linear
c) circular or elliptical
d) linear or elliptical
e) circular

10) Suppose both partners choose to answer "even" to any question that is asked. What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

a) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
b) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
c) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
d) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
e) None of these is correct

### KEY:Bell:Bell2:V2

Bell152874216202

1) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) +1
-b) 0
+c) −1/5
-d) −2/5
-e) +2/5
-f) +1/5
2) This figure is associated with
+a) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
-b) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
-d) Evidence presented in 1800 that light is a wave.
-e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

3) If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

-a) increases by 2 eV
-b) stays the same
+c) decreases by 4 eV
-d) decreases by 2 eV
-e) increases by 4 eV

4) Suppose both partners choose to answer "even" to any question that is asked. Why would such a strategy ever be adopted? (Assume for this question that ${\displaystyle Q>3}$)

+a) Two of these reasons for this strategy might be valid
-b) There is no reason for the partners to ever adopt this strategy
-c) The partners might have cheated so much in the past that they need to lose a round.
-d) One partner might announce that all answers will be "even", while the other is certain that the both question cards will have the same suit.
-e) Both partners agree that there is a 90% chance that the two question cards will have the same suit.

5) The β-strategy is a new strategy introduced in the couples version of the card game that calls for

+a) Alice and Bob to always give different answers (one "even" while the other "odd")
-b) None of these describes the β-strategy
-c) Alice and Bob to always answer "even"
-d) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
-e) Alice and Bob to always answer "odd"

6) A photon is polarized at 10° when it encounters a filter oriented at 70°. What is the probability that it passes?

+a) 1/4
-b) 1
-c) 3/4
-d) 1/2
-e) 0
7) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is both even and prime?
-a) 1
-b) 5/4
-c) 3/4
+d) 1/4
-e) 1/2
-f) 0
8) If a number is randomly selected from the set {2,3,4,5}, what is the probability that it is either even or prime?
-a) 1/2
-b) 1/4
-c) 5/4
-d) 0
-e) 3/4
+f) 1

9) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction parallel to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

+a) linearly
-b) circular or linear
-c) circular or elliptical
-d) linear or elliptical
-e) circular

10) Suppose both partners choose to answer "even" to any question that is asked. What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

-a) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
-b) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
+c) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
-d) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
-e) None of these is correct

### Bell:Bell3:V0

Bell152874216202

1) If you play the solitaire game 6 times, you will on average win ___ times.

a) 4
b) 6
c) 3
d) 2
e) 5

2) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

a) K and K♣
b) none of these are true
c) K and K♠
d) K♠ and K♣
e) two of these are true

3) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 6
b) 18
c) 3
d) 9
e) 2

4) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 160
b) 10
c) 16
d) 32
e) 40

5) The normal distribution (often called a "bell curve") is usually skewed

a) True
b) False

6) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 50
b) 500
c) 250
d) 150
e) 200

7) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
b) ${\displaystyle {\tfrac {1}{4}}}$
c) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
d) ${\displaystyle {\tfrac {3}{4}}}$
e) ${\displaystyle {\tfrac {1}{2}}}$

8) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) electromagnetic or pendulum
b) electromagnetic
c) pendulum
d) both can be created

9) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) circular
b) circular or linear
c) circular or elliptical
d) linear or elliptical
e) linearly

10) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
b) ${\displaystyle {\tfrac {3}{4}}}$
c) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
d) ${\displaystyle {\tfrac {1}{2}}}$
e) ${\displaystyle {\tfrac {1}{4}}}$

11) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5 to A?

a) no points awarded or lost
b) lose 3 points
c) win 1 point
d) lose Q points

12) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

a) None of these is correct
b) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
d) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$

13) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

a) True
b) False

14) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

a) The larger object has a greater energy density.
b) The hotter object has a greater energy density.
c) They have the same energy density (since the holes are identical).
d) No unique answer exists because two variables are involved (temperature and volume).

15) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

a) stays the same
b) becomes 4 times as big
c) is cut in half
d) is reduced by a factor of 4
e) becomes twice as big

16) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 1018
b) 6x1018
c) 2x1018
d) 8x1018
e) 4x1018
17) This figure is associated with
a) Evidence presented in 1800 that light is a wave.
b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
18) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 5/6
b) 5/4
c) 7/5
d) 4/5
e) 6/5
19) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
a) 1/4
b) 3/4
c) 5/4
d) 1/2
e) 0
f) 1
20) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) +1
b) +2/5
c) −1/5
d) +1/5
e) 0
f) −2/5

### KEY:Bell:Bell3:V0

Bell152874216202

1) If you play the solitaire game 6 times, you will on average win ___ times.

+a) 4
-b) 6
-c) 3
-d) 2
-e) 5

2) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

+a) K and K♣
-b) none of these are true
-c) K and K♠
-d) K♠ and K♣
-e) two of these are true

3) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 6
-b) 18
-c) 3
-d) 9
+e) 2

4) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

-a) 160
-b) 10
+c) 16
-d) 32
-e) 40

5) The normal distribution (often called a "bell curve") is usually skewed

-a) True
+b) False

6) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

+a) 50
-b) 500
-c) 250
-d) 150
-e) 200

7) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

-a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-b) ${\displaystyle {\tfrac {1}{4}}}$
+c) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-d) ${\displaystyle {\tfrac {3}{4}}}$
-e) ${\displaystyle {\tfrac {1}{2}}}$

8) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

+a) electromagnetic or pendulum
-b) electromagnetic
-c) pendulum
-d) both can be created

9) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

-a) circular
-b) circular or linear
+c) circular or elliptical
-d) linear or elliptical
-e) linearly

10) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

-a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-b) ${\displaystyle {\tfrac {3}{4}}}$
-c) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
+d) ${\displaystyle {\tfrac {1}{2}}}$
-e) ${\displaystyle {\tfrac {1}{4}}}$

11) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5 to A?

-a) no points awarded or lost
-b) lose 3 points
+c) win 1 point
-d) lose Q points

12) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

-a) None of these is correct
-b) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
-c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
+d) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
-e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$

13) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

+a) True
-b) False

14) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

-a) The larger object has a greater energy density.
+b) The hotter object has a greater energy density.
-c) They have the same energy density (since the holes are identical).
-d) No unique answer exists because two variables are involved (temperature and volume).

15) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

-a) stays the same
-b) becomes 4 times as big
-c) is cut in half
+d) is reduced by a factor of 4
-e) becomes twice as big

16) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

-a) 1018
-b) 6x1018
-c) 2x1018
-d) 8x1018
+e) 4x1018
17) This figure is associated with
+a) Evidence presented in 1800 that light is a wave.
-b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
-c) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
-d) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
-e) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
18) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-a) 5/6
-b) 5/4
+c) 7/5
-d) 4/5
-e) 6/5
19) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
-a) 1/4
+b) 3/4
-c) 5/4
-d) 1/2
-e) 0
-f) 1
20) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) +1
-b) +2/5
+c) −1/5
-d) +1/5
-e) 0
-f) −2/5

### Bell:Bell3:V1

Bell152874216202

1) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) electromagnetic or pendulum
b) pendulum
c) both can be created
d) electromagnetic

2) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

a) ${\displaystyle {\tfrac {1}{2}}}$
b) ${\displaystyle {\tfrac {3}{4}}}$
c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
e) ${\displaystyle {\tfrac {1}{4}}}$

3) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 10
b) 160
c) 32
d) 16
e) 40

4) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 6
b) 9
c) 2
d) 3
e) 18

5) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linear or elliptical
b) linearly
c) circular or elliptical
d) circular or linear
e) circular

6) The normal distribution (often called a "bell curve") is usually skewed

a) True
b) False

7) If you play the solitaire game 6 times, you will on average win ___ times.

a) 5
b) 6
c) 4
d) 3
e) 2

8) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

a) ${\displaystyle {\tfrac {3}{4}}}$
b) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
c) ${\displaystyle {\tfrac {1}{4}}}$
d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
e) ${\displaystyle {\tfrac {1}{2}}}$

9) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5 to A?

a) win 1 point
b) no points awarded or lost
c) lose 3 points
d) lose Q points
10) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 5/6
b) 5/4
c) 7/5
d) 4/5
e) 6/5

11) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

a) The larger object has a greater energy density.
b) No unique answer exists because two variables are involved (temperature and volume).
c) They have the same energy density (since the holes are identical).
d) The hotter object has a greater energy density.

12) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

a) becomes twice as big
b) stays the same
c) is reduced by a factor of 4
d) is cut in half
e) becomes 4 times as big

13) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

a) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
b) None of these is correct
c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
d) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
14) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) +2/5
b) +1
c) −1/5
d) +1/5
e) −2/5
f) 0
15) This figure is associated with
a) Evidence presented in 1800 that light is a wave.
b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
16) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
a) 1/4
b) 3/4
c) 0
d) 1
e) 5/4
f) 1/2

17) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

a) True
b) False

18) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

a) two of these are true
b) K and K♠
c) none of these are true
d) K and K♣
e) K♠ and K♣

19) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 4x1018
b) 6x1018
c) 8x1018
d) 2x1018
e) 1018

20) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 50
b) 250
c) 150
d) 200
e) 500

### KEY:Bell:Bell3:V1

Bell152874216202

1) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

+a) electromagnetic or pendulum
-b) pendulum
-c) both can be created
-d) electromagnetic

2) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

-a) ${\displaystyle {\tfrac {1}{2}}}$
-b) ${\displaystyle {\tfrac {3}{4}}}$
-c) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
+d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-e) ${\displaystyle {\tfrac {1}{4}}}$

3) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

-a) 10
-b) 160
-c) 32
+d) 16
-e) 40

4) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 6
-b) 9
+c) 2
-d) 3
-e) 18

5) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

-a) linear or elliptical
-b) linearly
+c) circular or elliptical
-d) circular or linear
-e) circular

6) The normal distribution (often called a "bell curve") is usually skewed

-a) True
+b) False

7) If you play the solitaire game 6 times, you will on average win ___ times.

-a) 5
-b) 6
+c) 4
-d) 3
-e) 2

8) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

-a) ${\displaystyle {\tfrac {3}{4}}}$
-b) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-c) ${\displaystyle {\tfrac {1}{4}}}$
-d) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
+e) ${\displaystyle {\tfrac {1}{2}}}$

9) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5 to A?

+a) win 1 point
-b) no points awarded or lost
-c) lose 3 points
-d) lose Q points
10) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-a) 5/6
-b) 5/4
+c) 7/5
-d) 4/5
-e) 6/5

11) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

-a) The larger object has a greater energy density.
-b) No unique answer exists because two variables are involved (temperature and volume).
-c) They have the same energy density (since the holes are identical).
+d) The hotter object has a greater energy density.

12) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

-a) becomes twice as big
-b) stays the same
+c) is reduced by a factor of 4
-d) is cut in half
-e) becomes 4 times as big

13) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

-a) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
-b) None of these is correct
-c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
-d) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
+e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
14) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) +2/5
-b) +1
+c) −1/5
-d) +1/5
-e) −2/5
-f) 0
15) This figure is associated with
+a) Evidence presented in 1800 that light is a wave.
-b) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
-c) The transfer of energy and momentum of a high energy photon of a nearly free electron.
-d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
16) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
-a) 1/4
+b) 3/4
-c) 0
-d) 1
-e) 5/4
-f) 1/2

17) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

+a) True
-b) False

18) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

-a) two of these are true
-b) K and K♠
-c) none of these are true
+d) K and K♣
-e) K♠ and K♣

19) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

+a) 4x1018
-b) 6x1018
-c) 8x1018
-d) 2x1018
-e) 1018

20) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

+a) 50
-b) 250
-c) 150
-d) 200
-e) 500

### Bell:Bell3:V2

Bell152874216202

1) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

a) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
b) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
c) ${\displaystyle {\tfrac {1}{4}}}$
d) ${\displaystyle {\tfrac {1}{2}}}$
e) ${\displaystyle {\tfrac {3}{4}}}$

2) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

a) K and K♠
b) K and K♣
c) none of these are true
d) two of these are true
e) K♠ and K♣

3) The normal distribution (often called a "bell curve") is usually skewed

a) True
b) False

4) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5 to A?

a) lose 3 points
b) win 1 point
c) no points awarded or lost
d) lose Q points

5) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
b) ${\displaystyle {\tfrac {1}{2}}}$
c) ${\displaystyle {\tfrac {3}{4}}}$
d) ${\displaystyle {\tfrac {1}{4}}}$
e) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$

6) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

a) becomes 4 times as big
b) stays the same
c) is cut in half
d) becomes twice as big
e) is reduced by a factor of 4

7) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

a) 8x1018
b) 6x1018
c) 2x1018
d) 4x1018
e) 1018

8) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 16
b) 40
c) 160
d) 32
e) 10

9) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

a) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
b) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
d) None of these is correct
e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
10) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
a) 0
b) −1/5
c) +2/5
d) +1/5
e) −2/5
f) +1

11) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

a) The larger object has a greater energy density.
b) They have the same energy density (since the holes are identical).
c) The hotter object has a greater energy density.
d) No unique answer exists because two variables are involved (temperature and volume).

12) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

a) True
b) False
13) This figure is associated with
a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
d) Evidence presented in 1800 that light is a wave.
e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

14) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

a) 3
b) 18
c) 2
d) 9
e) 6

15) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

a) 500
b) 250
c) 150
d) 50
e) 200

16) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

a) linearly
b) linear or elliptical
c) circular
d) circular or elliptical
e) circular or linear
17) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 5/6
b) 4/5
c) 5/4
d) 6/5
e) 7/5

18) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

a) electromagnetic or pendulum
b) both can be created
c) pendulum
d) electromagnetic

19) If you play the solitaire game 6 times, you will on average win ___ times.

a) 6
b) 3
c) 4
d) 5
e) 2
20) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
a) 1
b) 1/2
c) 1/4
d) 0
e) 3/4
f) 5/4

### KEY:Bell:Bell3:V2

Bell152874216202

1) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 30° to that field?

+a) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$
-b) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
-c) ${\displaystyle {\tfrac {1}{4}}}$
-d) ${\displaystyle {\tfrac {1}{2}}}$
-e) ${\displaystyle {\tfrac {3}{4}}}$

2) You solitaire deck uses ♠ ♣ and your answer cards are 4 and 5. You select 4♠, 5♣, and 5. If the questions were Q♠ and Q♣. Which of the following loses?

-a) K and K♠
+b) K and K♣
-c) none of these are true
-d) two of these are true
-e) K♠ and K♣

3) The normal distribution (often called a "bell curve") is usually skewed

-a) True
+b) False

4) How much do the partners win or lose if Alice answers 4♠ to K♠ while Bob answers 5 to A?

-a) lose 3 points
+b) win 1 point
-c) no points awarded or lost
-d) lose Q points

5) A linear polarizer selects a component of the electric field. Also, the energy density of light is proportional to the square of the electric field. By what factor does a filter reduce the electric field if it is oriented 60° to that field?

-a) ${\displaystyle {\tfrac {1}{\sqrt {2}}}}$
+b) ${\displaystyle {\tfrac {1}{2}}}$
-c) ${\displaystyle {\tfrac {3}{4}}}$
-d) ${\displaystyle {\tfrac {1}{4}}}$
-e) ${\displaystyle {\tfrac {\sqrt {3}}{2}}}$

6) If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength λ

-a) becomes 4 times as big
-b) stays the same
-c) is cut in half
-d) becomes twice as big
+e) is reduced by a factor of 4

7) If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

-a) 8x1018
-b) 6x1018
-c) 2x1018
+d) 4x1018
-e) 1018

8) A local college averages 1600 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

+a) 16
-b) 40
-c) 160
-d) 32
-e) 10

9) Suppose the referee gives Alice and Bob receive question cards of the different suit (different questions). What are the best and worst possible outcomes for the partners? (Assume for this question that ${\displaystyle Q>3}$)

-a) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$
-b) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -Q}$
-c) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
-d) None of these is correct
+e) Best for partners: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
10) Calculate the measured quantum correlation:
C(♠,) = ?
Assume the dots represent five observations.
-a) 0
+b) −1/5
-c) +2/5
-d) +1/5
-e) −2/5
-f) +1

11) Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other. The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

-a) The larger object has a greater energy density.
-b) They have the same energy density (since the holes are identical).
+c) The hotter object has a greater energy density.
-d) No unique answer exists because two variables are involved (temperature and volume).

12) Although it decreases the rate at which the partners lose point, increasing the probability of asking the same question is more effective at persuading students to act as particles by relying on the α-strategy because relying on a larger penalty for giving different answers to the same question will tempt students to use the β-strategy only briefly (hoping never to be caught) and then requesting a break to "re-establish" quantum entanglement.

+a) True
-b) False
13) This figure is associated with
-a) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
-c) A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
+d) Evidence presented in 1800 that light is a wave.
-e) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)

14) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are observed, then 68% of the time the observed number of positive outcomes will fall within ±___ of the expected value if p=.11 is the probability of a positive outcome. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution).

-a) 3
-b) 18
+c) 2
-d) 9
-e) 6

15) A local college averages 2500 new incoming students each year. Suppose the pool of potential high school graduates in the local area is so large that the probability of a given student selecting this college is small, and assume a variance of σ2 equal to p(1-p). What standard deviation would you expect in the yearly total of new enrollees, assuming nothing changes in this population from year to year?

-a) 500
-b) 250
-c) 150
+d) 50
-e) 200

16) Hold a pendulum a moderate distance from equilibrium and release it by tossing it in a direction perpendicular to the displacement of the mass from equilibrium. The resulting polarization will be ____ (pick the best answer)

-a) linearly
-b) linear or elliptical
-c) circular
+d) circular or elliptical
-e) circular or linear
17) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-a) 5/6
-b) 4/5
-c) 5/4
-d) 6/5
+e) 7/5

18) A mathematically pure (strictly monochromatic) __________ wave (oscillation) that is unpolarized cannot be created

+a) electromagnetic or pendulum
-b) both can be created
-c) pendulum
-d) electromagnetic

19) If you play the solitaire game 6 times, you will on average win ___ times.

-a) 6
-b) 3
+c) 4
-d) 5
-e) 2
20) If a number is randomly selected from the set {2,3,4,5}, what is P(prime), or the probability that the number is prime?
-a) 1
-b) 1/2
-c) 1/4
-d) 0
+e) 3/4
-f) 5/4