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10. Solve the following. (a) Suppose X is exponentially distributed with parameter 1 > 0. Let X, for X 1. Find the probability density function

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10. Solve the following. (a) Suppose X is exponentially distributed with parameter 1 > 0. Let X, for X 1. Find the probability density function of Y. (b) Let X be a standard normal random variable and Z be a random variable with values in (0,co), which is the solution of Z + InZ = X. Find the probability density function of Z

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