5. A team of computer science students are working on a large programming project. Two students A and B are selected to do quality assurance and check the application for bugs. Assume that A and B work independently and that A misses 12% of the bugs and B misses 15% of the bugs. (a) What is the probability that a randomly chosen bug will be missed by both quality assurance checkers? (b) If the program contains 1000 bugs, how many bugs can be expected to be missed? 6. Many best of seven series are scheduled so that the first two games are played at the home field of team A, the next three games are played at the home field of team B, and the last two are played back at the home field of team A. Of course, if one team wins 4 games before the series is over, then the remaining games will not be played. Assume that both reams win on their own home field with probability . (a) What is the probability that team A wins the series? (b) What is the expected number of games that the series goes to