Let X denote the number of white balls selected when k balls are chosen at random from an urn containing n white and m black balls. (i) Compute P(X = i). (ii) Let, for i = 1, 2, ..., k; j = 1, 2,..., n, X = -{ Y; if the ith ball selected is white otherwise if the /th white ball is selected otherwise Compute E[X] in two ways be expressing X first as a function of the X's and then of the Y's.