To the nearest thousand what was E (X) expected number of bases for Alex Rodriguez in a typical at bat in 2007

Given the following table that arranges the data of Alex Rodriguez hits in his 2007 MVP season for the New York Yankees, 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 (x) : 0 1 2 3 4

Number of Times f (x) : 400 98 31 0 54

Recall that the expected value of an event is given by the sum of the products of x and f (x).

Thus, E (x) = ∑xf (x) = 0 (400) + 1 (98) + 2 (31) + 3 (0) + 4 (54) = 98 + 62 + 216 = 376.

Given that he made a total of 583 at bats, E (x) can be expressed as 376 / 583 = 0.645 to the nearest thousandth.

Therefore, E (X), the expected number of bases for Alex Rodriguez in a typical at bat in 2007 is 0.645