Question: "A university that is better known for its basketball program than for its academic strength claims that 80% of its basketball players get degrees. An investigation examines the fate of all 20 players who entered the program over a period of several years that ended 6 years ago. Of these players, 11 graduated and the remaining 9 are no longer in school. If the university’s claim is true, the number of players who graduate among the 20 studied should have the B(20,0.8) distribution.

1. Find the probability that exactly 11 of the 20 players graduate.
2. Find the probability that 11 or fewer players graduate. This probability is so small that it casts doubts on the university’s claim."

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