Scenario $12\mathrm{.}2$ Hamsterdam

Marlo Stanfield's operation also uses large quantities of prepaid cell phones, on average $1500$ per week with a standard deviation of $145.$ The lead time for their own brand of prepaid cell phones is three weeks and they have a lot size of $350$ phones. To ensure they never run out, they keep a safety stock of $500$ phones with Proposition Joe.

What is the fill rate under this policy?

Group of answer choices

$0\mathrm{.}9398$

$0\mathrm{.}9833$

$0\mathrm{.}9921$

$0\mathrm{.}9938$