prove the following propositions: I need both items thanks 1. Let (Xn)may be a sequence of random variables. Prove that if E (X ) - a and var (X ) - 0, then 2. Let X1, X2,. . . independent random variables such that X, = 0 and for j > 2, X; is variable discrete random satisfying 1/j3, sik =+1, 12, ..., 1j P(X; = k) = 1-2/12, sik =0 Prove that ", 0, si c > 1/2