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3 Max of Uniforms Let X1, ...X,, be independent U [0, 1] random van'ables, and let X = max(X1,...X,,). Compute each of the following in

3 Max of Uniforms Let X1, ...X,, be independent U [0, 1] random van'ables, and let X = max(X1,...X,,). Compute each of the following in teams of n. (a) What is the cdf of X '2' (b) What is the pdf of X? (c) What is 1E[X]? (d) What is Var[X]

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