1. I would like to select 3 paperback books from a list of 11 books to take on vacation. How many different sets of three books can I choose? 2. Suppose there is a 90% chance that a test for performance-enhancing drugs will provide a positive test for an athlete who actually took them. In addition, there is a 15% chance that the same test will provide a positive test for an athlete who did not take them. Assume that 8% of the athlete population is currently taking performance-enhancing drugs. Determine the probability that a randomly selected athlete who tests positive is actually a user of performance-enhancing drugs. 3. Costco offers two types of memberships; Gold Star members and Executive members. Suppose that the probability of having a check-out total of $200 or less is 0.58 Further suppose the probability of having a check-out total of $200 or less for Gold Star members is 0.8148. If the probability of being a Gold Star member or having check-out total of $200 or less is 0.68, determine the probability of being a Gold Star member