In a rough approximation of a baseball game assume the game ends after each team gets 27 outs. So far during the 2022 MLB season, the median number of strikeouts during a game for a team is roughly 9. Let X be the random variable representing the number of strikeouts a team gets per game. Let's model the number of strikeouts per game, X, using the Binomial distribution. a) Derive the distribution of the Normal approximation to the Binomial given the information from Question 2 (e.g, find u and 2) b) Use the Normal approximation to find the probability that a team has less than or equal to 8 strikeouts in a game (remember the continuity correction). c) Use the normal approximation to find the probability of having 12 or more strike outs in a game.