1. It has been reported that the overall graduation rate for football players at Division I-A colleges and universi- ties is 65%. Source: "How Football Rates," USA Today, December 20, 2005, p. 12C.
a. If five players are randomly selected from the entire population of Division I-A football players, what is the probability that at least 2 of the 5 will graduate?
b. In part (a), what is the probability that all 5 of the players will graduate?
2. An association of coffee producers has estimated that 50% of adult workers drink coffee at least occasionally while on the job. Given this estimate:
a. For a randomly selected group of 4 adult workers, what is the probability that no more than 3 of them drink coffee at least occasionally while on the job?
b. In part (a), what is the probability that at least 2 of these individuals drink coffee at least occasionally while on the job?