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Exercise 1.30. You have an appointment at noon with a disorganized friend who will come at the appointment late. At which time should you go to the appointment in order to minimize the expected amount of time the first one at the appointment will have to wait in each of the following two contexts? 1. The time at which your friend will be at the appointment is uniformly distributed between noon and 1:00pm. 2. Your friend will be late by an amount of time that is exponentially distributed with mean 30 minutes.
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