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4. Functions of a Uniform no. (12 points). Let the random variable U be uniformly distributed over (0, 1]. Derive the pdfs for the following

4. Functions of a Uniform no. (12 points). Let the random variable U be uniformly distributed over (0, 1]. Derive the pdfs for the following functions of U: (a) X = aU l b , where a 0 are constants. (b) Y = ln U

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