Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67)= 0.0108?

MATLAB: An Introduction with Applications
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Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability
that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication
rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation:
(0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108?
Choose the correct answer below.
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.
B. 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.
O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to
those other arrangements should also be included in the result.
O D. The calculation assumes that the first three consumers are comfortable with drones and the last three are not, but this arrangement is not
possible.
Transcribed Image Text:Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. 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. B. 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. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other arrangements should also be included in the result. O D. The calculation assumes that the first three consumers are comfortable with drones and the last three are not, but this arrangement is not possible.
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