Question

miguel cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (note: the home runs are included in the hits data.) if he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

Explanation:

Step1: Calculate non - home run hits

Number of non - home run hits \(=127 - 21=106\)

Step2: Calculate total points

Points from non - home run hits \(=106\times1 = 106\)
Points from home runs \(=21\times5=105\)
Total points \(=106 + 105=211\)

Step3: Calculate expected score per at - bat

Expected score per at - bat \(=\frac{211}{369}\approx0.57\)

Answer:

\(0.57\)