USETHE FOLLOWING INFORMATON TO ANSWER QUESTIONS

Each year just after Christmas, a department store's buyer places an order with an offshore supplier for the store's private label raincoats. Upon receipt, the raincoats sell at the regular retail price through April $30$th$.$ Afterward, the store liquidates its stock of the raincoats to a discount retailer. Historical sales suggest that demand for the raincoats is normally distributed with a mean of $4,782$ units and a standard deviation of $200$ units.

What senvice level will the department store achieve if the buyer determines that the optimal order quantity is $4,694$ raincoats? $($Round your answer to three decimal places$)$

$0\mathrm{.}440$

$0\mathrm{.}330$

$0\mathrm{.}170$

$0\mathrm{.}670$

None of the above