1. According to the Higher Education Research Institute, 55% of college freshmen in 4-year colleges and universities during 2003 were female. Suppose 12 freshman are randomly selected and the number of females is recorded. a. Find the probability that exactly 7 of them are female. b. Find the probability that at least 5 of them are female. C. Find the probability that no more than 8 of them are female. 2. Suppose that 7% of the bolts produced by a machine are defective. If six bolts are chosen from a huge shipment and inspected, determine the probability that a. three bolts are defective b. at least two bolts are defective c. at most five bolts are defective