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$)$ below

X P$($x$)$

$00\mathrm{.}1682$

$10\mathrm{.}3353$

$20\mathrm{.}2849$

$30\mathrm{.}1489$

$40\mathrm{.}0386$

$50\mathrm{.}0241$

Compute the standard deviation of the random variable X