(Discrete (a) Let N be a random variable such that l) = 2), and let Fl and be two cdfs. that YIN = 1) = Fl(y), YIN = 2) = F2(y). Find the cdf for Y. (b) Aume N takes integer value i with probability m, i.e. P(N i) m, i > l. Let i? 1, be marginal cdfs Of Xi, i l, respectively. Assume Xi, i l, are all independent. from N. another random variable XN as Xi if N = i. Use conditional probabilities to find out the calf Of X (Remark: Xi, i 1, need not to be independent of each other ror this rt*ult to hold.) (c) Suppose each Fi(x) in part (b) Ines a pdf Find the pdf of XN.