1. Suppose that 20% of projects are successful, and consider a sample of 30 projects. Use binomial distribution to find a. Exactly 5 of the 30 projects are successful. b. At least 3 of the projects are successful. 2. For individuals buying a certain digital camera, 49% include an optional memory card in their purchase, 39% include an extra battery, 29% include both a card and battery. Consider randomly selecting a buyer and it turns out that this selected individual purchased an extra battery, what's the probability that an optional card was also purchased? 3. The proportions of blood phenotypes in the U.S. population are as follows: A B AB O 40 .11 .04 .45 Assuming that the phenotypes of three randomly selected individuals are independent of one another, What is the probability that the phenotypes of three randomly selected individuals are the same