A legendary football coach was known for his winning seasons. He consistently won nine or more games per season. Suppose x equals the number of games won up to the halfway mark (six games) in a
season. If this coach and his team had a probability
of winning any one game (and the winning or losing of one game was independent of another), then the probability distribution of the number x of winning games in a series of six games is:
Find the expected number of winning games in the first half of the season for this coach's football teams.