Solved: The exponential distribution is frequently applied

Chapter 6, Problem 6.62

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The exponential distribution is frequently applied to the waiting times between successes in a Poisson process. If the number of calls received per hour by a telephone answering service is a Poisson random variable with parameter = 6, we know that the time, in hours, between successive calls has an exponential distribution with parameter =1/6. What is the probability of waiting more than 15 minutes between any two successive calls?

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