Suppose you know all moments (about the origin) of random variable X, which we conveniently denote as a sequence mX(i) = E[Xi ], i = 1, 2, . . . For example, the mean of X is the first moment: X = mX(1). Express the moments of the following random variables in terms of the moments of X, mX(i):

a) Let Y = 2X, find mY (i). b) Let Z = X2 , find mZ(i). c) Let W = X + 1, find mW (i).