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5.2.1
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Based on a survey, assume that 39% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when five
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 three consumers not comfortable, as in this calculation: (0.39)(0.39)0.61)(0.610.61)=0.0345?
Choose the correct answer below.
Incorre
O A. There are other arrangements consisting of two consumers who are comfortable and three who are not. The probabilities corresponding to those other
arrangements should also be included in the result.
OB. The calculation assumes that the first two consumers are comfortable with drones and the last three are not, but this arrangement is not possible.
O C. 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.
OD. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones.
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