Show transcribed image text Practice Problem 1.E (Strong Law of Large Numbers): Suppose X, X2, is a sequence of 1.1.d. random variables such that P(X,-1/2) = 1 /2 and P(Xi = 3/2) = 1/2 for i = 1, 2, . For all positive integers n, let Y-= XiXy. .. Xn. (a) Calculate %). (b) Show that with probability one, we have lin Y,ãƒ¼0.

Practice Problem 1.E (Strong Law of Large Numbers): Suppose X, X2, is a sequence of 1.1.d. random variables such that P(X,-1/2) = 1 /2 and P(Xi = 3/2) = 1/2 for i = 1, 2, . For all positive integers n, let Y-= XiXy. .. Xn. (a) Calculate %). (b) Show that with probability one, we have lin Y,ãƒ¼0.