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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?

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