Let X1, X2, . . . , Xn be independent random variables,
Chapter , Problem 11(choose chapter or problem)
Let X1, X2, . . . , Xn be independent random variables, each having a uniform distribution over (0, 1). Let M = maximum (X1, X2, . . . , Xn). Show that the distribution function of M is given by FM(x) = xn, 0 x 1 What is the probability density function of M?
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