### Find the probability that a customer has been shopping

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##### Reference no: EM131524180

Question: In a survey at a shopping center, the interviewer asks customers how long their shopping trips have lasted so far. The response (T) given by a randomly chosen customer is uniformly distributed from 0 to 1.5 hours.

a. Find the probability that a customer has been shopping for 36 minutes or less.

b. The interviewer surveys 18 customers at different times. Find the probability that more than one-half of these customers say that they have been shopping for 36 minutes or less.

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