During his 2007 MVP season for the New York Yankees, Alex Rodriguez hit 98 singles, 31 doubles, 0 triples, and 54 home runs in a total of 583 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 400 98 31 0 54
To the nearest thousandth, what was E(X), the expected number of bases for Alex Rodriguez in a typical at bat in 2007?

A. 0.645
B. 0.458
C. 0.314
D. 0.569

Question

During his 2007 MVP season for the New York Yankees, Alex Rodriguez hit 98 singles, 31 doubles, 0 triples, and 54 home runs in a total of 583 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 400 98 31 0 54 
To the nearest thousandth, what was E(X), the expected number of bases for Alex Rodriguez in a typical at bat in 2007?

   A. 0.645 
   B. 0.458 
   C. 0.314 
   D. 0.569