# statistics

posted by
**Adam**
.

Suppose a basketball player successfully makes 70% of the free throw shots they attempt. Let X

represent the number of successful attempts in 120 independent attempted free throws.

(A) What is the true probability distribution of X?

(B) Find the mean and variance of the number of successful throws.

(C) Approximate probability that the player will successfully make at least 90 of the attempted free

throws. Justify the approximation you use.

(D) Using the same approximation method from part (C), approximate the probability that the player

will successfully make between 80 and 100 of the attempted free throws.