The distribution function of the Xi is given by F(x) = x on [0, 1]. Therefore the distribution function FZ of the maximum Z is equal to FZ(a) = (F(a))n = an. Its probability density function is
The distribution function of the Xi is given by F(x) = x on [0, 1]. Therefore the distribution function FV of the minimum V is equal to FV (a) = 1 − (1 − a)n. Its probability density function is
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