Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most four packs. Suppose that each pack has probability $0.2$ of containing the card Hugo is hoping for. The table below displays the probability distribution of $X$, the number of packs of cards Hugo purchases. | | | | | - | - | - | - | - $X$| $1$ | $2$ | $3$ | $4$ $\text{Probability}$ | $0.2$ | $0.16$ | $0.128$ | $0.512$ **Given that $\mu_X=2.952$, find the standard deviation of the number of packs of baseball cards that Hugo buys.** *Round your answer to the nearest thousandth.* [[☃ numeric-input 1]] packs