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Problem 1. 33 points Let U1, . .., Un be iid Uniform 0,1] random variables. Let U() be the ith order statistic. (a) (6 points)

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Problem 1. 33 points Let U1, . .., Un be iid Uniform 0,1] random variables. Let U() be the ith order statistic. (a) (6 points) Derive the density function of U and identify the distribution. (b) (6 points) For 1

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