Instructions: 1. Copy your answer to each question AND the R code by which you reached your answer to a document. The answers should be correctly ordered. Problem 1 (3 pts): Let's say you are playing an altered version of Craps. It is a gambling game that uses two dice, and the sum of two rolled dice determines the outcome. If the sum is 2, 3, or 12, you lose all of your bet. If the sum is 7 or 11, then you earn the same amount as your bet. If the sum is 4, 5, 6, 8, 9, or 10, then you lose half of your bet. 1. (2 pts) Create a Probability Mass Function (PMF) of the variable X = the profit from the game, assuming that you bet $20 for the game. 2. (1 pts) What is the expected value of X