2. Let X and Y are independent random variables with the same mass function f(-1) f(1)...

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2. Let X and Y are independent random variables with the same mass function f(-1) f(1) = 1/2. Let Z = XY. Show that X, Y, Z are pairwise independent but they are not independent. (Here、X,, . .. , xn are said to be pairwise independent if every pair Xi, X, with i f j are independent.)

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