36. Let X be uniformly distributed on [0, 1]. Find a linear function Y g(X) such...

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36. Let X be uniformly distributed on [0, 1]. Find a linear function Y  g(X) such that the interval [0, 1] is transformed into [5, 5]. Use the relationship for linear functions MaX  b(t)  ebtMX(at) to obtain the mgf of Y from the mgf of X. Compare your answer with the result of Exercise 31, and use this to obtain the pdf of Y.

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