Problem 1: Calculate the expected value and variance for the rv whose pdf is given below. - 1 pt and 1.5 pts respectively e-l f(l) = (1 + e 1) for l R Problem 2: Calculate the expected value and variance for the rv whose pdf is given below. - 1 pt and 1.5 pts respectively 11 (In(y)) fy(y) e 2 for yR+ 2 Problem 3: Let X~ Bin(N, p), that is its pmf is fy(y) = NCxPx (1 - p)N-x for x = {0, 1, 2, ..., N} O else It was shown in class E[X] = Np. Calculate Var[X]. - 2 pts (Hint: First calculate EX(X-1)]) Q Search