Suppose that X and Y are two random variables, which may
Chapter 4, Problem 9(choose chapter or problem)
Suppose that X and Y are two random variables, which may be dependent, and Var(X) = Var(Y ). Assuming that 0 < Var(X + Y)< and 0 < Var(X Y)< , show that the random variables X + Y and X Y are uncorrelated.
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