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Let X1, X2, X3 be r.v.'s with p.d.f. f given by f(x1, x2, x3) = 8x1x2x3 IA(x1, x2, x3), where A = (0, 1) ´ (0, 1) ´ (0, 1).
i) Show that these r.v.'s are independent;
ii) Calculate the probability P(X1 <>X2 X3).
Statistics and Probability, Statistics
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