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Consider independent uniform random variables X1, ..., Xn over (0, 1). Find the CDF and the PDF of the random variable M := max{ X1,

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Consider independent uniform random variables X1, ..., Xn over (0, 1). Find the CDF and the PDF of the random variable M := max{ X1, . .., An)- (Hint: If events El, ..., En are independent, then P{En . . .nE,} = P{E } x . . . x P{E,).)

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