Question: Let W = ax + bY. What is the variance of W, if X and Y are random variables with the following known properties?

Let W = ax + bY. What is the variance of W,

Let W = ax + bY. What is the variance of W, if X and Y are random variables with the following known properties? E(X)=6, E(Y)=9, Var(X)=24, Var(Y)=42, Cov(X,Y)=6, a=2 and b=3. Variance of W is: (2 d.p.)

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