In this problem you have to construct a random variables (i.e., their distributions) so that their mgf satisfies certain properties. (a) Describe a random variable X such that gx (r) is not finite for r 0. (b) Describe a random variable Y such that gy (r) is not finite for r> 0 but is finite for r 0. (c) Assuming that X, Y in the above parts are independent, what is the ROC of (X+Y) for your examples?