Question

To the nearest thousandth, what was E(X), the expected number of bases for Albert Pujols in a typical at bat in 2009?

Answer 1

During his 2009 MVP season for the St. Louis Cardinals, Albert Pujols hit 93 singles, 45 doubles, 1 triple, and 47 home runs in a total of 568 at bats. The following table arranges these data in terms of the number of bases for a hit, counting 0 bases for the times when he did not get a hit and 4 bases for home runs.

Number of Bases 0 1 2 3 4
Number of Times 382 93 45 1 47
To the nearest thousandth, what was E(X), the expected number of bases for Albert Pujols in a typical at bat in 2009?