A football team wins 80% of its games. Suppose the team plays 16 games in a season and that the outcome of each game is independent of the outcome of any other game. (For this problem, please show work by hand, rather than using Excel to do the calculations for you).
a. Find the probability that the team wins at least 14 of the games.
b. Consider 5 seasons in which the team plays 16 games each season. What is the probability that they win at least 14 games in each of the 5 seasons?