As we see in Exercise 11.38 on page 653, during the 2010-11NBA season, Ray Allen of the Boston Celtics had a free throw shooting percentage of 0.881. Assume that the probability Ray Allen makes any given free throw is fixed at 0.881, and that free throws are independent.

(a) If Ray Allen shoots 8 free throws in a game, what is the probability that he makes at least 7 of them?

(b) If Ray Allen shoots 80 free throws in the playoffs, what is the probability that he makes at least 70 of them?

(c) If Ray Allen shoots 8 free throws in a game, what are the mean and standard deviation for the number of free throws he makes during the game?

(d) If Ray Allen shoots 80 free throws in the playoffs, what are the mean and standard deviation for the number of free throws he makes during the playoffs?  

Exercise 11.38

During the 2010-11 NBA season, Ray Allen of the Boston Celtics had a free throw shooting percentage of 0.881. Assume that the probability Ray Allen makes any given free throw is fixed at 0.881, and that free throws are independent.