Question

Donovan Mitchell is a basketball player who plays for the Utah Jazz. For the 2017-2018 year, Mitchell’s shooting percentage was 0.502. (This is 2 pointers only.) Thus, we can think of him as a machine that, on average makes, 50.2 % of his shots. (There is a lot of analysis to debunk things like “having a hot hand” or “being on a roll”.) On average, Mitchell takes 10 shots per game.

a) Let X be the random variable that represents the number of shots he makes (i.e. successes) per game. Write the equation for the probability density function for Mitchell’s shots made per game.

b) What is the probability that Mitchell will make exactly 8 out of 10 shots in the next game. (Assume he will take 10 shots).

c) In the next game, what is the probability that Mitchell will make his 8^th shot of the game?

d) Over the next 10 games, what is the probability that Mitchell will make at least 60% of his shots?

Answer 1