I posted this hw before, but I forgot to upload the solutions from the textbook, so I post it again

474 SOLUTIONS TO EXERCISES 4.40 (a) 101: (b) 1410; (c) 3; (d) 1266. 4.45 Cov(X, Y) = Cov(X, ax +b) = aCov(X, X) = QV[X]. 4.49 P(A B). 4.51 (a) False. (b) True. (c) False. (k - 1)2, for k = 2,..., n + 1 4.53 P(X + Y = k) = 1(2n - k + 1)/12, fork = n + 2,.... 2n. SOLUTIONS FOR CHAPTER 5 5.1 694.167. 5.3 VIX] = (p-1)/p2. 5.5 Send out 11 applications. 5.7 Ek=(k - 1)n (n + 1-k)? 5.9 E(2X] = 2p (1 -2(1 - P)) for 1/2