A man and a woman agree to meet at a certainlocation about

Chapter 6, Problem 6.13

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A man and a woman agree to meet at a certainlocation about 12:30 P.M. If the man arrives ata time uniformly distributed between 12:15 and12:45, and if the woman independently arrives ata time uniformly distributed between 12:00 and 1P.M., find the probability that the first to arrivewaits no longer than 5 minutes. What is the probabilitythat the man arrives first?

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