Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws.

Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let X = the number of free throws Faith makes out of 20
shots.

(a) Explain why X is a binomial random variable.
(b) Calculate the mean of X.
(c) Calculate the standard deviation of X.
(d) Use the binomial probability formula to find P(X = 19). Interpret this value in context.
(e) Her coach says that he will let the team out of practice early if Faith makes 18 or more free throws. What is the probability that practice ends
early?