derek jeter challenges albert pujols to a batting battle. each will earn 1 point for a hit other than a home…

derek jeter challenges albert pujols to a batting battle. each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. which player should you back given the statistics in the table below? note that home runs are included as hits in the table.\n\n| batter | at bats | hits | home runs |\n| ---- | ---- | ---- | ---- |\n| jeter | 488 | 156 | 9 |\n| pujols | 448 | 125 | 26 |\n\no e(jeter) = 0.38 and e(pujols) = 0.45, so back pujols.\no e(jeter) = 0.39 and e(pujols) = 0.51, so back pujols.\no e(jeter) = 0.34 and e(pujols) = 0.34, so it doesnt matter who you back.\no e(jeter) = 1.22 and e(pujols) = 0.94, so back jeter.

derek jeter challenges albert pujols to a batting battle. each will earn 1 point for a hit other than a home run and 4 points for a home run in each round. which player should you back given the statistics in the table below? note that home runs are included as hits in the table.\n\n| batter | at bats | hits | home runs |\n| ---- | ---- | ---- | ---- |\n| jeter | 488 | 156 | 9 |\n| pujols | 448 | 125 | 26 |\n\no e(jeter) = 0.38 and e(pujols) = 0.45, so back pujols.\no e(jeter) = 0.39 and e(pujols) = 0.51, so back pujols.\no e(jeter) = 0.34 and e(pujols) = 0.34, so it doesnt matter who you back.\no e(jeter) = 1.22 and e(pujols) = 0.94, so back jeter.

Answer

Explanation:

Step1: Calculate non - home - run hits for Jeter

Non - home - run hits for Jeter = Hits - Home Runs = $156 - 9=147$.

Step2: Calculate expected value for Jeter

Expected value $E$(Jeter)=$\frac{147\times1 + 9\times4}{488}=\frac{147 + 36}{488}=\frac{183}{488}\approx0.38$.

Step3: Calculate non - home - run hits for Pujols

Non - home - run hits for Pujols = Hits - Home Runs = $125 - 26 = 99$.

Step4: Calculate expected value for Pujols

Expected value $E$(Pujols)=$\frac{99\times1+26\times4}{448}=\frac{99 + 104}{448}=\frac{203}{448}\approx0.45$.

Answer:

E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols.