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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