8. Suppose that 80% of all men support the return of the Quebec Nordiques, whereas 40% of all women don't care. (a) Given a random sample of 15 men, what is the probability that at least 9 but no more than 12 of them support the return of the Nordiques? (b) What is the expected number of women who don't care in a random sample of 20? (C) Given a sample of 15 men and a sample of 20 women, what is the probability that at least 10 men support the return of the Nordiques and at least 10 women don't care? What assumption did you make, if any? 9. The John Abbott security office will be busy in August when the students rush in to get their parking decals. Suppose students arrive at the office following a Poisson distribution with an average of 20 students per hour. (a) If the office can process at most 25 students per hour, what is the probability that the office will be overloaded during a particular hour? (b) Suppose the security staff is unhappy if, during a period of 15 minutes, more than 10 students arrive (too busy) or less 2 students arrive (bored). What is the probability that the security staff is unhappy during a period a 15 minutes