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1) The manager of a large department with three floors reports that the time a customer...

1) The manager of a large department with three floors reports that the time a customer on the second floor must wait for an elevator has a uniform distribution ranging from 0 to 4 minutes.

a)     Find the mean and standard deviation of x, the time a customer on the second floor waits for an elevator.   

b)     Find the probability that a randomly selected customer waits less than 1.5 minutes after pushing the second-floor elevator button.

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