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10. This problem is still about Shaq. As- sume you are on the team playing against Shaq. You see Shaq driving toward the bas- ket
10. This problem is still about Shaq. As- sume you are on the team playing against Shaq. You see Shaq driving toward the bas- ket to dunk and you are the only defensive player in his way, so naturally you start doing quick probability computations. You know that Shaq successfully sCores (2 points) on 90% of dunk attempts with only one defender in his way, but if you intentionally foul him he won't score and instead will have to take 2 freethrows (worth 1 point each) and he only makes 52% of his freethrows. What is the difference between the expected value of let ting Shaq try to dunk and the expected value of deploying the Hack-aShaq strategy? 9. Shaquille O'NEAL (Shaq) was a basket- ball player who, despite his otherwise hall-of- fame career, was not great at shooting free- throws. This led to perhaps the best-named strategy in all of sports: Hack-a-Shaq, in which defensive players would intentionally foul players such as Shaq who were terrible at free-throws but otherwise very good scor- ers, thereby decreasing the opponent teams expected points value for that possession. Given that Shaq had a 52% career free-throw shooting percentage and took on average 960 free-throws each season, what is the distribu- tion of the number of free-throws Shaq makes over a season
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