Let (:); be a sequence of independent generalized Bernoulli(1/2), i.e. random variables that take either values 1 or -1 with equal probability (1/2). Let 7; = $182 II;=1 S; (i.e. the product of the random variables). j3D1 1) Prove that i and 72 are independent generalized Bernoulli(1/2) (as described above). 2) Find the probability that P (E4> max(71, N2, 13, 74)). 4 3) Find the distribution of j=1