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11. (5 marks) Two customers, Bob and Mary, arrive at an occupied service counter at the same time. Bob insists Mary go ahead of him. Let X denote the time (in minutes) until Mary can be served and Y be the time (in minutes) until Bob is served. Suppose the joint density of X and Y is f(x, y) 0 , otherwise Find the moment-generating function of U --aln(X/Y). What is the distribution of U?

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