# PSY-3301 Chapter 9 MC Quiz (Set 4)

Question 1

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In solving a binomial problem, if the evaluation required only finding the probability of all P events, and N = 40, evaluating P40 would be more accurate than using the normal approximation. Assume no rounding.

Question 2

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What is the probability that one can call the flip of a coin correctly at least 6 out of 7 times assuming that the coin is fair?

Question 3

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The sum of all terms in any binomial expansion will equal _______.

Question 4

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Teresa, a star player in women’s college softball, is participating in a home run contest. If the probability she will hit a home run on any pitch is 0.65 what is the probability that out of 10 tries, at least 7 will be home runs?

Question 5

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Evaluated over a large number of pitches, a varsity women softball pitcher threw 1400 strikes and 600 balls. Assuming things remain the same, what is the probability she will throw at least 35 strikes in her next 40 pitches. Assume independence between throws.

Question 6

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What is the probability of 4 heads turning up out of four tosses of the coin if the probability of any one head is P = 0.40?

Question 7

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A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbrewery’s and the other 4 are national favorites. What is the probability that all 7 volunteers pick the microbrewery’s beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

Question 8

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Solving the binomial expansion to 4 decimal places will give more accurate values than the entries in Table B of the textbook.

Question 9

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A cat lover wants to know if cats have color vision. She teaches her cat to press a green button to obtain a food reward. She then gives the cat a choice between a green and a red button, but only rewards it when it presses the red button. Position of the button is controlled for. The cat is given

several practice trials, and then tested 15 times. If the cat cannot distinguish between red and green, what is the probability that it will push the red button at least 12 times out of 15?

Question 10

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The requirements for the binomial distribution are _________.

Question 11

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In a situation where there are only two possible events, A and B, on each trial, if P = Q on each trial

Question 12

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Consider the binomial expansion for 6 events:

P6 + 6P5Q + 15P4Q2 + 20P3Q3 + 15P2Q4 + 6PQ5 + Q6

What term(s) would you use to evaluate the probability of obtaining 1 or fewer heads from 6 flips of an unbiased coin?

Question 13

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Assume your friend just took an exam made up of 20 true/false questions. Further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question What is the probability your friend will pass the exam. Each question has the same weight and 60% or more correct answers results in a passing grade.

Question 14

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Assuming the binomial distribution is appropriate, if N = 6 and P = 0.50, the probability of getting exactly 5 P events derives from evaluating which of the term(s) in the following expansion:

P6 + 6P5Q + 15P4Q2 + 20P3Q3 + 15P2Q4 +6PQ5 + Q6

Question 15

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A biased coin is defined as _________.

Question 16

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For the binomial distribution to be applicable to a situation,

Question 17

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Suppose you gave a multiple-choice exam with 16 questions on it. Each question has 4 alternatives. What is the probability that a student who guesses at random on each of the 16 questions will score 4 or fewer correct answers? Assume that each alternative to each question is equally likely to be chosen.

Question 18

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A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbrewery’s and the other 4 are national favorites. What is the probability that none of the volunteers pick the microbrewery’s beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

Question 19

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Assuming the binomial distribution is appropriate, if N = 7, P = 0.40, and the number of P events = 2, the number of Q events = _________.

Question 20

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Assume your friend just took an exam made up of 20 true/false questions. Further assume that your friend had no knowledge relevant to the questions, and consequently just guessed the answer to each question. What is the probability he will get a B, if the B range is 80-89%?

Question 21

0 out of 4 points

A local microbrewery believes it produces the best tasting dark beer in town. To make its case, seven volunteers are asked to participate in a beer tasting contest. Each volunteer is asked to taste 5 dark beers and to pick the one he/she prefers. Of the 5 dark beers, one is microbrewery’s and the other 4 are national favorites. What is the probability that exactly 3 of the volunteers don’t pick the microbrewery’s beer? Assume there is no taste preference for any of the beers and that chance alone determines each selection.

Question 22

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If P = 0.40 for the probability of getting a head on any one flip of the coin, then _________.

Question 23

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Assuming the binomial distribution is appropriate, if N = 10 and P = 0.30, the probability of getting at least 8 P events is _________.

Question 24

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In order to use the binomial distribution, which of the following conditions are necessary?

Question 25

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Consider the binomial expansion for 6 events:

P6 + 6P5Q + 15P4Q2 + 20P3Q3 + 15P2Q4 + 6PQ5 + Q6

What term would you use in evaluating the probability of obtaining exactly 2 heads as the result of flipping an unbiased coin 6 times?