Let X1, X2, ..., X100 be independent discrete random variables, each with probability mass function (pmf) p(x) = 1 x for x = 1, 2, 3,4. a. Use the central limit theorem to approximate P(3< Xi+X2+...+X 100 <3.2). 100 b. Use R to simulate the problem and estimate the probability in part (a). Then compare your answers to parts (a) and (b).