The amount of water in a reservoir at the beginning of the day is a random variable X and the amount of water taken from the reservoir during the day is a random variable Y . The joint pdf for X and Y is f (x, y) = { 1/200, 0 < y < x < 20; 0, otherwise. Use the distribution function technique to find the pdf of the amount of water left in the reservoir at the end of the day

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