Refer to the previous exercise. Over the course of a season, this player shoots 400 free throws.
a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes.

b. By the normal distribution approximation, within what range would you expect the number made almost certainly to fall? Why?
c. Within what range would you expect the proportion made to fall?

Previous exercise

In the National Basketball Association, the top free throw shooters usually have probability of about 0.90 of making any given free throw.