Suppose A plays video games every night. Suppose that the games are independent and each time he has a probability p of winning. A uses the following strategy. He will play n games. He wins X (a r.v.) of these games, and then he will play an additional X games, and then stop. a) Find the mean TOTAL number of wins. (Hint: Define Z (a r.v.) = # of wins on the X additional games, so the total number of wins is X+Z) b) Find the variance of the total number of wins