60. Group Activity Investigating an Athletic Program A university widely known for its track and field program claims that 75% of its track athletes get degrees. A journalist investigates what happened to the 32 athletes who began the program over a 6 -year period that ended 7 years ago. Of these athletes, 17 have graduated and the remaining 15 are no longer attending any college. If the university's claim is true, the number of athletes who graduate among the 32 examined should have been governed by binomial probability with p=0.75.
(a) What is the probability that exactly 17 athletes should have graduated?
(b) What is the probability that 17 or fewer athletes should have graduated?
(c) If you were the journalist, what would you say in your story on the investigation?