# Question: A set of random variables X1 X2 X3 Xn are

A set of random variables, X1, X2, X3, Xn, are independent and each uniformly distributed over ( 0, 1).

(a) Find the probability density function of Z = max(X1, X2… Xn).

(b) With defined as in part (a) above, let A be the event {X1 = 1/ 2} and find fZ|A (z). That is, find the conditional PDF of Z given {X1 = 1/ 2}

(a) Find the probability density function of Z = max(X1, X2… Xn).

(b) With defined as in part (a) above, let A be the event {X1 = 1/ 2} and find fZ|A (z). That is, find the conditional PDF of Z given {X1 = 1/ 2}

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