Four boxes of computer chips arrive. Each box is from a different manufacturer. The boxes contain, respectively, 250, 300, 400, and 500 chips. One of the boxes is chosen at random. Let X denote the total number of chips in the chosen box. The four boxes are combined, and one of the chips is selected at random. Let Y denote the number of chips that were in the box from the selected chip. 1. Find the PMF of X and Y. 2. Which of E[X] or [Y] do you think is larger? Compute E[X] and E[Y].