11. Let X1, X2, . . . , Xn be independent random variables, each having a uniform...

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11. Let X1, X2, . . . , Xn be independent random variables, each having a uniform distribution over (0, 1). LetM =maximum (X1, X2, . . . , Xn). Show that the distribution function of M, FM(ยท), is given by

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What is the probability density function of M?

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