# Quizbank/Bell/152874216182

< Quizbank‎ | Bell

Bell152874216182

### Bell:Bell1:V0

Bell152874216182

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

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

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

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

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

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

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 wins?

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

5) The normal distribution (often called a "bell curve") is never 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 made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 2.2
b) 3.3
c) 1.1
d) 9.9
e) 4.4

8) By definition, a skewed distribution

a) contains no outliers
b) is asymmetric about it's peak value
c) includes negative values of the observed variable
d) is a "normal" distribution
e) is broader than an unskewed distribution

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 is blocked by the filter?

a) 8mW
b) 9mW
c) 6mW
d) 3mW
e) 4mW
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. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?
a) 1/8
b) 1/32
c) 1/16
d) 3/32
e) 3/16

### KEY:Bell:Bell1:V0

Bell152874216182

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

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

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

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

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

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

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 wins?

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

5) The normal distribution (often called a "bell curve") is never 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 made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

-a) 2.2
-b) 3.3
-c) 1.1
-d) 9.9
+e) 4.4

8) By definition, a skewed distribution

-a) contains no outliers
+b) is asymmetric about it's peak value
-c) includes negative values of the observed variable
-d) is a "normal" distribution
-e) is broader than an unskewed distribution

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 is blocked by the filter?

-a) 8mW
-b) 9mW
-c) 6mW
+d) 3mW
-e) 4mW
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. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?
+a) 1/8
-b) 1/32
-c) 1/16
-d) 3/32
-e) 3/16

### Bell:Bell1:V1

Bell152874216182

1) 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 wins?

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

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

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

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

a) True
b) False
4) 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. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?
a) 3/16
b) 1/8
c) 1/16
d) 3/32
e) 1/32

5) By definition, a skewed distribution

a) is a "normal" distribution
b) is broader than an unskewed distribution
c) is asymmetric about it's peak value
d) contains no outliers
e) includes negative values of the observed variable

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

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

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

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

8) The normal distribution (often called a "bell curve") is never skewed

a) True
b) False

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 is blocked by the filter?

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

10) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 4.4
b) 2.2
c) 9.9
d) 3.3
e) 1.1

### KEY:Bell:Bell1:V1

Bell152874216182

1) 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 wins?

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

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

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

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

+a) True
-b) False
4) 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. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?
-a) 3/16
+b) 1/8
-c) 1/16
-d) 3/32
-e) 1/32

5) By definition, a skewed distribution

-a) is a "normal" distribution
-b) is broader than an unskewed distribution
+c) is asymmetric about it's peak value
-d) contains no outliers
-e) includes negative values of the observed variable

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

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

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

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

8) The normal distribution (often called a "bell curve") is never skewed

+a) True
-b) False

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 is blocked by the filter?

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

10) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

+a) 4.4
-b) 2.2
-c) 9.9
-d) 3.3
-e) 1.1

### Bell:Bell1:V2

Bell152874216182

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

a) 3
b) 2
c) 5
d) 4
e) 1
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. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?
a) 1/16
b) 1/32
c) 3/16
d) 1/8
e) 3/32

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

a) True
b) False

4) By definition, a skewed distribution

a) includes negative values of the observed variable
b) is asymmetric about it's peak value
c) contains no outliers
d) is broader than an unskewed distribution
e) is a "normal" distribution

5) The normal distribution (often called a "bell curve") is never skewed

a) True
b) False

6) 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 is blocked by the filter?

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

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

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

8) 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 wins?

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

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

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

10) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

a) 4.4
b) 3.3
c) 2.2
d) 1.1
e) 9.9

### KEY:Bell:Bell1:V2

Bell152874216182

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

-a) 3
+b) 2
-c) 5
-d) 4
-e) 1
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. Unpolarized light impinges on three linear filters, each oriented 45° to the previous, as shown. What fraction of the power incident on the first filter emerges from the last?
-a) 1/16
-b) 1/32
-c) 3/16
+d) 1/8
-e) 3/32

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

+a) True
-b) False

4) By definition, a skewed distribution

-a) includes negative values of the observed variable
+b) is asymmetric about it's peak value
-c) contains no outliers
-d) is broader than an unskewed distribution
-e) is a "normal" distribution

5) The normal distribution (often called a "bell curve") is never skewed

+a) True
-b) False

6) 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 is blocked by the filter?

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

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

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

8) 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 wins?

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

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

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

10) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 40 trials are made and p=.11, the expected number of positive outcomes is__. Make the approximation that this binomial distribution is approximately a Gaussian (normal) distribution.

+a) 4.4
-b) 3.3
-c) 2.2
-d) 1.1
-e) 9.9

### Bell:Bell2:V0

Bell152874216182

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

2) 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) Two of these reasons for this strategy might be valid
c) There is no reason for the partners to ever adopt this strategy
d) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
e) 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.

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

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

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

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

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

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

6) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

7) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

a) stays the same
b) becomes 4 times as big
c) is reduced by a factor of 4
d) becomes twice as big
e) is cut in half
8) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
a) 1
b) 1/2
c) 3/4
d) 0
e) 5/4
f) 1/4
9) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
a) 5/4
b) 0
c) 1/4
d) 1
e) 3/4
f) 1/2
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) 0
b) 1/2
c) 1/4
d) 5/4
e) 3/4
f) 1

### KEY:Bell:Bell2:V0

Bell152874216182

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

2) 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) Two of these reasons for this strategy might be valid
-c) There is no reason for the partners to ever adopt this strategy
-d) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
-e) 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.

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

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

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

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

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

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

6) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

7) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

-a) stays the same
+b) becomes 4 times as big
-c) is reduced by a factor of 4
-d) becomes twice as big
-e) is cut in half
8) If a number is randomly selected from the set {2,3,4,5}, what is P(prime)+P(even), or the sum of the probability that it is even, plus the probability that it is prime?
-a) 1
-b) 1/2
-c) 3/4
-d) 0
+e) 5/4
-f) 1/4
9) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
-a) 5/4
-b) 0
-c) 1/4
-d) 1
-e) 3/4
+f) 1/2
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) 0
-b) 1/2
+c) 1/4
-d) 5/4
-e) 3/4
-f) 1

### Bell:Bell2:V1

Bell152874216182

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

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

2) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

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

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

5) 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) The partners might have cheated so much in the past that they need to lose a round.
c) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
d) There is no reason for the partners to ever adopt this strategy
e) Two of these reasons for this strategy might be valid
6) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
a) 5/4
b) 1
c) 1/4
d) 1/2
e) 0
f) 3/4

7) Suppose the referee gives Alice and Bob receive question cards of the same suit (same 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) Best for partners: ${\displaystyle +1}$ ... 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

8) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

a) is reduced by a factor of 4
b) becomes 4 times as big
c) becomes twice as big
d) stays the same
e) is cut in half
9) 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) 3/4
b) 1/2
c) 1/4
d) 0
e) 5/4
f) 1

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

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

### KEY:Bell:Bell2:V1

Bell152874216182

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

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

2) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

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

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

5) 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) The partners might have cheated so much in the past that they need to lose a round.
-c) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
-d) There is no reason for the partners to ever adopt this strategy
+e) Two of these reasons for this strategy might be valid
6) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
-a) 5/4
-b) 1
-c) 1/4
+d) 1/2
-e) 0
-f) 3/4

7) Suppose the referee gives Alice and Bob receive question cards of the same suit (same 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) Best for partners: ${\displaystyle +1}$ ... 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

8) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

-a) is reduced by a factor of 4
+b) becomes 4 times as big
-c) becomes twice as big
-d) stays the same
-e) is cut in half
9) 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) 3/4
-b) 1/2
+c) 1/4
-d) 0
-e) 5/4
-f) 1

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

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

### Bell:Bell2:V2

Bell152874216182

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

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

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

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

4) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

5) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

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

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

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

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

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

a) no points awarded or lost
b) lose 3 points
c) win 1 point
d) lose Q points
9) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
a) 1/4
b) 5/4
c) 1
d) 1/2
e) 3/4
f) 0
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) 0
b) 1
c) 1/2
d) 5/4
e) 3/4
f) 1/4

### KEY:Bell:Bell2:V2

Bell152874216182

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

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

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

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) Two of these reasons for this strategy might be valid
-b) There is no reason for the partners to ever adopt this strategy
-c) Both partners agree that there is a 90% chance that the two question cards will have the same suit.
-d) The partners might have cheated so much in the past that they need to lose a round.
-e) 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.

4) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

5) If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

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

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

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

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

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

-a) no points awarded or lost
+b) lose 3 points
-c) win 1 point
-d) lose Q points
9) If a number is randomly selected from the set {2,3,4,5}, what is P(even), or the probability that the number is even?
-a) 1/4
-b) 5/4
-c) 1
+d) 1/2
-e) 3/4
-f) 0
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) 0
-b) 1
-c) 1/2
-d) 5/4
-e) 3/4
+f) 1/4

### Bell:Bell3:V0

Bell152874216182

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

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

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 wins?

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

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

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

4) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 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) 3
c) 6
d) 1
e) 18

5) The normal distribution (often called a "bell curve") is never skewed

a) True
b) False

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 6
b) 8
c) 12
d) 16
e) 22

7) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) all of these are possible
b) parallel
c) perpendicular
d) at 45 degrees

8) 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) circular or linear
c) circular or elliptical
d) circular
e) linearly

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

10) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

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

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

12) Suppose the referee selects neutral scoring with ${\displaystyle Q={\frac {4}{3}}\left({\frac {1-P_{S}}{P_{S}}}\right).}$ What is the penalty if the probability of asking the same question is 0.5?

a) ${\displaystyle \infty }$
b) ${\displaystyle 4/3}$
c) ${\displaystyle 4}$
d) ${\displaystyle 3}$
e) ${\displaystyle 0}$

13) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
b) Alice and Bob to always answer "even"
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 α-strategy
14) 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 (except that Plank assumed that the walls were conductive.)
b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
c) Evidence presented in 1800 that light is a wave.
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)

15) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

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

16) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?

a) The object with the greater temperature emits more.
b) No unique answer exists because two variables are involved (temperature and volume).
c) They both emit the same number of photons (since the holes are identical).
d) The object with the greater volume.

17) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

a) 0
b) 1/2
c) 1/4
d) 1
e) 3/4
18) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 2/5
b) 3/5
c) 3/4
d) 5/6
e) 2/4=1/2
19) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 5/6
b) 2/4=1/2
c) 2/5
d) 3/5
e) 3/4
20) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 4/5
b) 5/4
c) 6/5
d) 7/5
e) 5/6

### KEY:Bell:Bell3:V0

Bell152874216182

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

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

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 wins?

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

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

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

4) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 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) 3
-c) 6
-d) 1
-e) 18

5) The normal distribution (often called a "bell curve") is never skewed

+a) True
-b) False

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 6
-b) 8
-c) 12
+d) 16
-e) 22

7) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) all of these are possible
-b) parallel
+c) perpendicular
-d) at 45 degrees

8) 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) circular or linear
+c) circular or elliptical
-d) circular
-e) linearly

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

10) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

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

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

12) Suppose the referee selects neutral scoring with ${\displaystyle Q={\frac {4}{3}}\left({\frac {1-P_{S}}{P_{S}}}\right).}$ What is the penalty if the probability of asking the same question is 0.5?

-a) ${\displaystyle \infty }$
+b) ${\displaystyle 4/3}$
-c) ${\displaystyle 4}$
-d) ${\displaystyle 3}$
-e) ${\displaystyle 0}$

13) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

-a) Alice and Bob to sometimes give different answers (one "even" while the other "odd")
-b) Alice and Bob to always answer "even"
+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 α-strategy
14) 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 (except that Plank assumed that the walls were conductive.)
-b) The transfer of energy and momentum of a high energy photon of a nearly free electron.
+c) Evidence presented in 1800 that light is a wave.
-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)

15) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

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

16) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?

+a) The object with the greater temperature emits more.
-b) No unique answer exists because two variables are involved (temperature and volume).
-c) They both emit the same number of photons (since the holes are identical).
-d) The object with the greater volume.

17) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

-a) 0
-b) 1/2
-c) 1/4
+d) 1
-e) 3/4
18) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
+a) 2/5
-b) 3/5
-c) 3/4
-d) 5/6
-e) 2/4=1/2
19) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 5/6
-b) 2/4=1/2
-c) 2/5
+d) 3/5
-e) 3/4
20) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
-a) 4/5
-b) 5/4
-c) 6/5
+d) 7/5
-e) 5/6

### Bell:Bell3:V1

Bell152874216182

1) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?

a) The object with the greater temperature emits more.
b) No unique answer exists because two variables are involved (temperature and volume).
c) The object with the greater volume.
d) They both emit the same number of photons (since the holes are identical).

2) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

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

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 wins?

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) 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: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
d) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
e) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$

5) Suppose the referee selects neutral scoring with ${\displaystyle Q={\frac {4}{3}}\left({\frac {1-P_{S}}{P_{S}}}\right).}$ What is the penalty if the probability of asking the same question is 0.5?

a) ${\displaystyle \infty }$
b) ${\displaystyle 3}$
c) ${\displaystyle 4/3}$
d) ${\displaystyle 4}$
e) ${\displaystyle 0}$

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

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

7) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

a) 0
b) 3/4
c) 1/4
d) 1
e) 1/2
8) 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
9) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 3/5
b) 2/5
c) 2/4=1/2
d) 5/6
e) 3/4

10) 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) circular or linear
c) circular
d) circular or elliptical
e) linear or elliptical

11) 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) circular or linear
d) circular or elliptical
e) linearly
12) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 2/5
b) 2/4=1/2
c) 3/4
d) 3/5
e) 5/6

13) The normal distribution (often called a "bell curve") is never skewed

a) True
b) False

14) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 12
b) 8
c) 22
d) 16
e) 6
15) This figure is associated with
a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
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) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
e) 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.)

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

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

17) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

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

18) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

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

19) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) parallel
b) all of these are possible
c) at 45 degrees
d) perpendicular

20) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 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) 1
b) 3
c) 6
d) 9
e) 18

### KEY:Bell:Bell3:V1

Bell152874216182

1) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?

+a) The object with the greater temperature emits more.
-b) No unique answer exists because two variables are involved (temperature and volume).
-c) The object with the greater volume.
-d) They both emit the same number of photons (since the holes are identical).

2) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

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

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 wins?

-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) 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: ${\displaystyle +1}$ ... Worst: ${\displaystyle -3}$
-d) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -3}$
-e) Best for partners: ${\displaystyle 0}$ ... Worst: ${\displaystyle -Q}$

5) Suppose the referee selects neutral scoring with ${\displaystyle Q={\frac {4}{3}}\left({\frac {1-P_{S}}{P_{S}}}\right).}$ What is the penalty if the probability of asking the same question is 0.5?

-a) ${\displaystyle \infty }$
-b) ${\displaystyle 3}$
+c) ${\displaystyle 4/3}$
-d) ${\displaystyle 4}$
-e) ${\displaystyle 0}$

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

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

7) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

-a) 0
-b) 3/4
-c) 1/4
+d) 1
-e) 1/2
8) 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
9) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 3/5
+b) 2/5
-c) 2/4=1/2
-d) 5/6
-e) 3/4

10) 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) circular or linear
-c) circular
+d) circular or elliptical
-e) linear or elliptical

11) 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) circular or linear
-d) circular or elliptical
+e) linearly
12) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
-a) 2/5
-b) 2/4=1/2
-c) 3/4
+d) 3/5
-e) 5/6

13) The normal distribution (often called a "bell curve") is never skewed

+a) True
-b) False

14) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 12
-b) 8
-c) 22
+d) 16
-e) 6
15) This figure is associated with
-a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
+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) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-e) 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.)

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

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

17) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

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

18) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

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

19) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) parallel
-b) all of these are possible
-c) at 45 degrees
+d) perpendicular

20) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 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) 1
+b) 3
-c) 6
-d) 9
-e) 18

### Bell:Bell3:V2

Bell152874216182

1) Calculate the probability
P(♠,)+P(♠,)+P(,) = ?
Assume the dots represent five observations.
a) 5/4
b) 7/5
c) 6/5
d) 4/5
e) 5/6

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 wins?

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

3) 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) linear or elliptical
c) circular
d) circular or linear
e) circular or elliptical
4) This figure is associated with
a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
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) Evidence presented in 1800 that light is a wave.
d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

5) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

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

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

a) 12
b) 22
c) 8
d) 6
e) 16

7) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

8) 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) linear or elliptical
c) linearly
d) circular or elliptical
e) circular or linear

9) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

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

10) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

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

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

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

12) The normal distribution (often called a "bell curve") is never skewed

a) True
b) False
13) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 2/5
b) 2/4=1/2
c) 3/4
d) 5/6
e) 3/5

14) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 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) 3
d) 18
e) 1
15) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
a) 3/5
b) 2/4=1/2
c) 5/6
d) 2/5
e) 3/4

16) 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

17) Suppose the referee selects neutral scoring with ${\displaystyle Q={\frac {4}{3}}\left({\frac {1-P_{S}}{P_{S}}}\right).}$ What is the penalty if the probability of asking the same question is 0.5?

a) ${\displaystyle \infty }$
b) ${\displaystyle 3}$
c) ${\displaystyle 4/3}$
d) ${\displaystyle 4}$
e) ${\displaystyle 0}$

18) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?

a) The object with the greater temperature emits more.
b) The object with the greater volume.
c) They both emit the same number of photons (since the holes are identical).
d) No unique answer exists because two variables are involved (temperature and volume).

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

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

20) The light is linearly polarized, the electric field is oriented ________to the direction of motion

a) parallel
b) all of these are possible
c) at 45 degrees
d) perpendicular

### KEY:Bell:Bell3:V2

Bell152874216182

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

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 wins?

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

3) 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) linear or elliptical
-c) circular
-d) circular or linear
-e) circular or elliptical
4) This figure is associated with
-a) Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
-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) Evidence presented in 1800 that light is a wave.
-d) Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
-e) The transfer of energy and momentum of a high energy photon of a nearly free electron.

5) The α-strategy in the couples version of the card game is similar to the strategy introduced in the solitaire version, and calls for

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

6) Recall that only 4.6% of the outcomes for a normal distribution lie outside of two standard deviations from the mean, and approximate the binomial distribution as normal for large numbers. If the variance is σ2=np(1-p) where n is the number of trials and p=.11 is the probability of a positive outcome for 90 trials, roughly 98% of the outcomes will be smaller than approximately __

-a) 12
-b) 22
-c) 8
-d) 6
+e) 16

7) A photon is polarized at 10° when it encounters a filter oriented at 100°. What is the probability that it is blocked?

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

8) 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) linear or elliptical
-c) linearly
+d) circular or elliptical
-e) circular or linear

9) A photon is polarized at 5° when it encounters a filter oriented at 50°. What is the probability that it is blocked?

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

10) If the hypotenuse of a 60°-30° right triangle has a length of 1 what is the length of the shorter side?

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

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

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

12) The normal distribution (often called a "bell curve") is never skewed

+a) True
-b) False
13) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
+a) 2/5
-b) 2/4=1/2
-c) 3/4
-d) 5/6
-e) 3/5

14) For a binomial distribution with n trials, the variance is σ2=np(1-p). If 90 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) 3
-d) 18
-e) 1
15) Calculate the measured probability:
P(♠,) = ?
Assume the dots represent five observations.
+a) 3/5
-b) 2/4=1/2
-c) 5/6
-d) 2/5
-e) 3/4

16) 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

17) Suppose the referee selects neutral scoring with ${\displaystyle Q={\frac {4}{3}}\left({\frac {1-P_{S}}{P_{S}}}\right).}$ What is the penalty if the probability of asking the same question is 0.5?

-a) ${\displaystyle \infty }$
-b) ${\displaystyle 3}$
+c) ${\displaystyle 4/3}$
-d) ${\displaystyle 4}$
-e) ${\displaystyle 0}$

18) Two black bodies of are created by cutting identical small holes 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 emits more photons per second (above a given threshold energy)?

+a) The object with the greater temperature emits more.
-b) The object with the greater volume.
-c) They both emit the same number of photons (since the holes are identical).
-d) No unique answer exists because two variables are involved (temperature and volume).

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

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

20) The light is linearly polarized, the electric field is oriented ________to the direction of motion

-a) parallel
-b) all of these are possible
-c) at 45 degrees
+d) perpendicular