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# A doctor has scheduled two appointments, one at 1:00pm and the other at 1: The amounts of time that appointments last are independent exponential...

A doctor has scheduled two appointments, one at 1:00pm and the other at 1:30pm. The amounts of time that appointments last are independent exponential random variables with mean 30 minutes. Assuming that both patients are on time, find the expected amount of time that the 1:30 appointment spends in the doctor’s office.