[4] Aaron Judge is a baseball player for the New York Yankees, who this season has...

Transcribed Image Text:

[4] Aaron Judge is a baseball player for the New York Yankees, who this season has shown a proclivity for hitting home runs (HRs). Through 114 games of the 162-game regular season, he has 48 HRs. The most ever by a Yankee for the same length season was by Roger Maris, who reached 61 home runs on the last day of the 162-game season in 1961. Using his performance through 114 games, establish an estimate for the probability of Aaron Judge hitting a HR in any given game. For this problem, we will assume that he will not and has not hit more than one HR in a game, games are independent, and we are only concerned with him hitting a HR or not. In order to replace Roger Maris as having the most productive Yankee HR season, Aaron Judge needs 14 HRs in the remaining 48 games. Determine the probability distribution for the total number of games Aaron Judge will need to hit 14 additional HRs. Then, using the normal approximation only, with continuity correction, report the probability that the number of games required to pass Roger Maris is less than or equal to 48. [4] Aaron Judge is a baseball player for the New York Yankees, who this season has shown a proclivity for hitting home runs (HRs). Through 114 games of the 162-game regular season, he has 48 HRs. The most ever by a Yankee for the same length season was by Roger Maris, who reached 61 home runs on the last day of the 162-game season in 1961. Using his performance through 114 games, establish an estimate for the probability of Aaron Judge hitting a HR in any given game. For this problem, we will assume that he will not and has not hit more than one HR in a game, games are independent, and we are only concerned with him hitting a HR or not. In order to replace Roger Maris as having the most productive Yankee HR season, Aaron Judge needs 14 HRs in the remaining 48 games. Determine the probability distribution for the total number of games Aaron Judge will need to hit 14 additional HRs. Then, using the normal approximation only, with continuity correction, report the probability that the number of games required to pass Roger Maris is less than or equal to 48.

Answer rating: 100% (QA)

Let X be the number of games Aaron Judge needs to hit 14 additional home runs We a... View the full answer