Suppose that you are waiting for a friend to call you and
Chapter 4, Problem 4.2.2(choose chapter or problem)
Suppose that you are waiting for a friend to call you and that the time you wait in minutes has an exponential distribution with parameter =0.1. (a) What is the expectation of your waiting time? (b) What is the probability that you will wait longer than 10 minutes? (c) What is the probability that you will wait less than 5 minutes? (d) Suppose that after 5 minutes you are still waiting for the call. What is the distribution of your additional waiting time? In this case, what is the probability that your total waiting time is longer than 15 minutes? (e) Suppose now that the time you wait in minutes for the call has a U(0,20) distribution. What is the expectation of your waiting time? If after 5 minutes you are still waiting for the call, what is the distribution of your additional waiting time?
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