An absent-minded professor schedules two student, Engineering Mathematics

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An absent-minded professor schedules two student

Question: An absent-minded professor schedules two student appointments for the same time. The appointment durations are independent and exponentially distributed with mean 30 minutes. The first student arrives on time, but the second student arrives 5 minutes late. What is the expected time between the arrival of the first student and the departure of the second student?

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Engineering Mathematics: An absent-minded professor schedules two student

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