Question: If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y) = 10, and V(Y) = 9. Determine the

If X and Y are independent, normal random variables with E(X) = 0, V(X) = 4, E(Y) = 10, and V(Y) = 9.
Determine the following:
(a) E(2X + 3Y)
(b) V(2X + 3Y)
(c) P(2X + 3Y < 30)
(d) P(2X + 3Y < 40)

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