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\text { Suppose } X \text { and } Y \text { are r.v.s with } E(X)=7, E\left(X^{2}\right)=70, E(Y)=-2 \text {, and } E\left(Y^{2}\right)=19 \text {. } (a) Compute E(6x - 5Y). (b) Compute vari-4Y). (c) If X and Yareindependent, find var(X +Y). (d) If X and Y were not independent, could you find var(X + Y) with the information provided?

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