In the probability distribution to the right, the random variable x represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts $($a$)$through $($f$)$

X P$($X$)$

$00\mathrm{.}1682$

$10\mathrm{.}3353$

$20\mathrm{.}2849$

$30\mathrm{.}1489$

$40\mathrm{.}0386$

$50\mathrm{.}0241$

Which of the following interpretations of the mean is correct?

A$.$ The observed number of hits per game will be equal to the mean number of hits per game for most games

B$.$ In any number of games, one would expect the mean number of hits per game to be the mean of the random variable

C$.$The observed number of hits per game will be less than the number of hits per game for most games

D$.$ Over the course of many games, one would expect the mean number of hits oer game to he the mean of the random variable