35. Let Xx, X2,..., Xn be independent random variables, each having a uniform distribution over (0,1). Let

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35. Let Xx, X2,..., Xn be independent random variables, each having a uniform distribution over (0,1). Let M = maximum (Xl,X2,Xn).

Show that the distribution function of M, FM( - ) , is given by FM(x) = x\ 0 < รท < 1 What is the probability density function of Ml

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