Based on a survey, assume that 58% of consumers are comfortable having drones deliver their purchase Suppose we want to find the probability that when four consumers are randomly selected, exactly two of are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting two consumers comfortable with drones followed by two consumers not comfortable, as in this calculation: (0.58)(0.58)(0.42)(0.42) = 0.0593?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Based on a survey, assume that 58% of consumers are comfortable having drones deliver their purchases.
Suppose we want to find the probability that when four consumers are randomly selected, exactly two of them
are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of
getting two consumers comfortable with drones followed by two consumers not comfortable, as in this
calculation: (0.58)(0.58)(0.42)(0.42) = 0.0593?
Choose the correct answer below.
O A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a
consumer is not comfortable with drones.
O B. There are other arrangements consisting of two consumers who are comfortable and two who are
not. The probabilities corresponding to those other arrangements should also be included in the
result.
O C. The calculation assumes that the first two consumers are comfortable with drones and the last two
are not, but this arrangement is not possible.
O D. The probability of the second consumer being comfortable with drones cannot be treated as being
independent of the probability of the first consumer being comfortable with drones.
Transcribed Image Text:Based on a survey, assume that 58% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when four consumers are randomly selected, exactly two of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting two consumers comfortable with drones followed by two consumers not comfortable, as in this calculation: (0.58)(0.58)(0.42)(0.42) = 0.0593? Choose the correct answer below. O A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. O B. There are other arrangements consisting of two consumers who are comfortable and two who are not. The probabilities corresponding to those other arrangements should also be included in the result. O C. The calculation assumes that the first two consumers are comfortable with drones and the last two are not, but this arrangement is not possible. O D. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones.
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