1. (22 points) You toss two six-sided dice. Let M be the maximum of the two dice, so that M (1, 5) = 5, M (3, 3) = 3, and so on. To answer the questions below, you will probably nd it helpful to write out the sample space for this experiment, which we have used in a couple of examples in class. 1.1. (4 points) What is f(3)? 1.2. (4 points) What is F (3)? 1.3. (4 points) What is E (M)? 1.4. * (10 points) Carefully graph f (m) and F(m)