Let X be a Poisson random variable with µ = EX = 0.4 and let Y be another
random such that
E[(2Y + 1)2
] = 10 and E[(Y − 1)2
] = 4
Consider the random variable Z such that Z = 3X + 4Y + 2.
1. Find E(X2
), E(Y
2
) and E(Z).
2. Suppose that X and Y are independent, find the variance of Z