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 | 480 | 156 | 9 |\n| pujols | 448 | 125 | 26 |\n\ne(jeter) = 0.38 and e(pujols) = 0.45, so back pujols\ne(jeter) = 0.39 and e(pujols) = 0.51, so back pujols\ne(jeter) = 0.34 and e(pujols) = 0.34, so it doesnt matter who you back\ne(jeter) = 1.22 and e(pujols) = 0.94, so back jeter
Answer
Explanation:
Step1: Calculate Jeter's points
Non - home - run hits for Jeter are (156 - 9=147). Points from non - home - run hits are (147\times1), and points from home runs are (9\times4). Total points (E(Jeter)=\frac{147\times1 + 9\times4}{480}=\frac{147+36}{480}=\frac{183}{480}=0.38125\approx0.38).
Step2: Calculate Pujols's points
Non - home - run hits for Pujols are (125 - 26 = 99). Points from non - home - run hits are (99\times1), and points from home runs are (26\times4). Total points (E(Pujols)=\frac{99\times1+26\times4}{448}=\frac{99 + 104}{448}=\frac{203}{448}\approx0.453\approx0.45).
Answer:
E(Jeter) = 0.38 and E(Pujols) = 0.45, so back Pujols