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9. Let X, and X2 be independent and uniformly distributed over the interval (0, 1). Find (a) the p.d.f. of U = min( X1, X2).

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9. Let X, and X2 be independent and uniformly distributed over the interval (0, 1). Find (a) the p.d.f. of U = min( X1, X2). (b) the p.d.f. of V = max( X1, X2). (c) E(U) and Var(U). (1/3), (1/18) (d) E(V) and Var(V). (2/3), (1/18)

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