Can you help me with this problem?

I ACTS AIL VEAD 7. The Apostles Falcons and the Patten Bulldogs are having a best-of-7 series in basketball. The first team to win 4 games is the champion. This means the minimum number of total games is 4, and the maximum number of total games is 7. Apostles has a slight edge over Patten, so let's say the probability that Apostles wins one game is p = .56. Each game will be independent of the other games. Let x = number of total games in the series. a. What is p(x = 4)? (Either Apostles won all four games, or Patten won all four games) b. List all the ways for Apostles to win the match in 5 games, using A's and P's. (for example, Apostles winning in 6 games could be APAPAA or APPAAA) c. Using your list from part b, what is the probability that Apostles wins in 5 games? d. What is the probability that Apostles won the first three games, but Patten had a miraculous comeback and won the next four games? BONUS (max 3). Find the probability distribution of x. Remember that x can be 4, 5, 6, or 7. geom Palf (0 JON ) P = 0-56 4 - 0. 0 47 7 03 7) a ) binomedf ( 4, 0.56, 4) : 0.09 8365 not binomial b) APAAA, PAAAA AAPAA, AAAPA, (1 - 0.56 ) 0:56 .. 1 - 0:56 2 - 1 956 x - 1 (1 - P ) P geom Ed f to. 56 , 1, 9) = 10. 46 2519 irgot A binomldf ( 5 1 0. 58, 1, 4 ) = 0 928 435 is ding d ) AAAPPPP