Q1.[10 points] Choose to work on two out of the following three questions. (i) Assume that two events A and B are mutually exclusive and independent. Prove that P(B) = 0 if P(A) = 1/9. (ii) Which of that the following functions is not a cumulative distribution function (cdf)? Why? 0. 1, OSI 0. If the lifetime of the airplane's brake system is T = max(X, Y), prove that the expected lifetime of the brake system is between 0 and 20, that is, 0