Question: Let X and Y be two (continuous or discrete) random variables with E(X)=5, E(Y)=4, Var(X)=4, Var(Y)=16, Cov(X,Y)=4. Find (a) Cov(2X-5Y, 4X+2Y); (b) Var(2X+7Y+5); (c) E(X^2+2Y^2);

Let X and Y be two (continuous or discrete) random variables with E(X)=5, E(Y)=4, Var(X)=4, Var(Y)=16, Cov(X,Y)=4. Find

(a)Cov(2X-5Y, 4X+2Y);

(b)Var(2X+7Y+5);

(c)E(X^2+2Y^2);

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