In: Statistics and Probability
A slugging average of .500 or higher is considered a sign of an excellent player. Suppose a player had 4 triples and a batting average of .300 in 400 at-bats (batting average = hits/at-bats). Determine a combination of singles, doubles, and home runs that gives this player a slugging average higher than .500. Still using 400 at-bats, what is the maximum number of singles this player could have with a slugging average between .500 and .700? Justify your answer.