12. (a) If Y has a uniform distribution on [1, 5], find a transformation g such that...
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12. (a) If Y has a uniform distribution on [1, 5], find a transformation g such that U = g(Y ) has a uniform distribution on [0, 1]. Ans. g(u) = (y + 1)/6 (b) If Y has an exponential distribution with mean 4, find a transformation g such that U = g(Y ) has an exponential distribution with mean 1. Ans. g(u) = y/4
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