Question: A random variable represents the number of wins in a 12-game season for a football team that has a probability of .9 of winning any of its games.
(A) Find the mean and standard deviation of the random variable.
(B) Find the probability that the team wins each of its 12 games.
(C) Use a graphing utility to simulate 100 repetitions of the binomial experiment associated with the random variable, and compare the empirical probability of a perfect season with the answer to part (B).