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[6 pts] Let X1, X2,..X, be independent random variables, each with a beta distribution, with a = 2 and B = 2. Let X(n) =

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[6 pts] Let X1, X2,..X, be independent random variables, each with a beta distribution, with a = 2 and B = 2. Let X(n) = max(X1, X2...X). Find the probability density function of X(n)

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