1. Four friends, Ann, Bea, Curt, and Dan, are walking next to each other, but have to walk in single file to go through a turnstile. We are interested in the order that they go through the turnstile. a. List the sample space for this experiment. b. What is the probability that Curt goes through before Ann? c. What is the probability that both Curt and Dan go through before Ann? d. What is the probability that Bea goes through last? 2. A box of cookies contains 5 chocolate chips and 10 sugar cookies. If 5 cookies are randomly selected, what is the probability that three are chocolate chips and 2 are sugar cookies. 3. Let U ~ Bin (a. b). Use the MGF to derive the mean