The random variables X and Y have joint density function f(x, y) = 2 — 1.2x - 0.8y, 0≤x≤1, 0≤ y ≤1. Calculate the variance of Z = X + Y as 1 1 Var(Z) = E[(Z −µ₂)²³] = √ ¹ √ ¹ (x + y − µz)² f(x, y)dydx Note: You will have to first calculate μz = E[Z] as µ^₂ = E[Z]} = E[X+Y] = [² [₁¹ (x + y) f (x, y) dydx. μz

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