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In: Statistics and Probability

6.42 Let X1,..., Xn be an i.i.d. sequence of Uniform (0,1) random variables. Let M =...

6.42 Let X1,..., Xn be an i.i.d. sequence of Uniform (0,1) random variables. Let M = max(X1,...,Xn).

(a) Find the density function of M. (b) Find E[M] and V[M].

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