4. (18 points) Consider tossing two dice. As is often the case, you may want to write out the sample space of the experiment before you begin. Let X be the sum of the two dice and Y be the absolute value of difference of the two dice, so that Y({5,3}) = Y({3, 5}) = 2. Create a table showing the joint pmf of X and Y, p(x, 3;). You do not have to submit this table, but it will be helpful for answering the following questions. 4.1. What is p(8,0)? 4.2. What is P(X = 6, Y s 2)? 4.3. What is P(X