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Suppose that X and Y have a continuous joint distributio

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Suppose that X and Y have a continuous joint distribution for which the joint p.d.f. is as follows: f (x, y) = 1 3 (x +

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Suppose that X and Y have a continuous joint distribution for which the joint p.d.f. is as follows: f (x, y) = 1 3 (x + y) for 0 ? x ? 1 and 0 ? y ? 2, 0 otherwise. Determine the value of Var(2X ? 3Y + 8).

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