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Suppose that X, Y , and Z are three random variables suc

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Suppose that X, Y , and Z are three random variables such that Var(X) = 1, Var(Y ) = 4, Var(Z) = 8, Cov(X, Y ) = 1, Cov(

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Suppose that X, Y , and Z are three random variables such that Var(X) = 1, Var(Y ) = 4, Var(Z) = 8, Cov(X, Y ) = 1, Cov(X, Z) = ?1, and Cov(Y, Z) = 2. Determine (a) Var(X + Y + Z) and (b) Var(3X ? Y ? 2Z + 1).

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