You are given two independent random variables, X1, X2 iid Unif(0,2). Let Y = X1 + X2. (a) Compute the mean and variance for Y. b) Compute the mof for Y. c) Use the mgf for Y to rederive the mean for Y, i.e., compute E[Y] by differentiating the mgf. Hint: Use L'Hopital's rule. Double hint - you should get the same answer as part (a)