In: Statistics and Probability
Jacob is a basketball player who has a 40% probability of successfully making a free throw
(a) In practice, Jacob keeps shooting free throws until he makes one in. Then, he stops and runs a lap.
i. What is the probability that he attempts at most 2 free throws before he has to run a lap?
ii. What is the expected number of free throw attempts Jacob makes before he has to run a lap?
(b) In a game, Jacob attempts 10 free throws.
i. What is the probability that he makes at least 5 free throws in this game?
ii. What is the expected number of free throws made by Jacob in this game?