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More hoops. For the basketball player in Exercise 9, what's the expected number of shots until he misses?

Exercise:

Hoops. A basketball player has made 80% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight s game he

a) misses for the first time on his fifth attempt.

b) makes his first basket on his fourth shot.

c) makes his first basket on one of his first 3 shots.

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