i) Let X be a uniform random variable taking values in the interval (0, a) where a > 0. Compute, X(t), the moment generating function of X. ii) Let X1 and X2 be independent random variables, where X1 is uniform taking values in the interval (0, 1), and X2 is uniform taking values in the interval (0, 2). Prove or disprove the claim that Y = X1+X2 is a uniform random variable taking values in the interval (0, 3). You may use your answer to part i) for this purpose