25. A legendary football coach was known for his winning seasons. He consistently won nine lol or more games per season. Suppose x equals the number of games won up to the halfway mark (six games) in a 12-game season. If this coach and his team had a probability p = 0.75 of winning any one game (and the winning or losing of one game was independent of goodanother), then the probability distribution of the number x of winning games in a series of six games is: mist end x P(X) blind erdt 0 0.000244 to a net zeal Isdi viuidsdong erif bail needdo es etobias as id 1 0.004395 mist er 2 0.032959 3 0.131836 toljud er 4 0.296631 t to a fesel is tall wiilidsdong erdt ball , needdo ers enables1 as il 5 0.355957 6 0.177979 a. Find the expected number of winning games in the first half of the season for this coach's football teams. b. Determine the variance of the number of winning games in the first half of the season