1. We independently and uniformly at random draw three times from the numbers 1 2 3. (That is, each number has equal probability of being drawn and each draw is independent of the other draws.) Let X.- denote the 72th draw, 2' = 1, 2, 3, and X = (X1 + X2 + X3)/3. (3.) Find the pmf of X.- for z' = 1, 2, 3. (b) Find the pmf of X. (c) Find the cdf of X. (d) Compute the expected value and standard deviation of X1 and X. What do you observe? (e) Use R to plot pmf and cdf of X