Suppose X ~ y (n) is independent of Z ~ N(0,1). Let T = Z VXIn S = Z. (a) Can the PDF of T be found based on the 4-step procedure between (X, Z) and (T, S) (i.e., joint PDF first then marginal PDF of 7')? If yes, find the PDF of T this way then. If not, explain why. (b) Can the PDF of 7 be found using the CDF technique? If yes, find the PDF of T this way then. If not, explain why