Suppose that X1, X2,...,X5 are five random variables for
Chapter 3, Problem 16(choose chapter or problem)
Suppose that X1, X2,...,X5 are five random variables for which the joint p.d.f. can be factored in the following form for all points (x1, x2,...,x5) R5: f (x1, x2,...,x5) = g(x1, x2)h(x3, x4, x5), where g and h are certain nonnegative functions. Show that if Y1 = r1 (X1, X2) and Y2 = r2 (X3, X4, X5), then the random variables Y1 and Y2 are independent
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