Use the following information to answer question $37$ and $38.$

An industrial products distributor orders wooden pallets from a nearby lumber yard. The number of pallets they use weekly follows a normal distribution with an average of $400$ pallets each week and a weekly standard deviation of $75$ pallets. The lead time to receive pallets from the lumber yard is two weeks.

$2\mathrm{.}5pts$

Question $37$

The distributor currently orders pallets whenever their pallet inventory drops to $1,000.$ What is the probability that they stock out during the leadtime?

$\mathrm{.}004$

$\mathrm{.}016$

$\mathrm{.}029$

$\mathrm{.}063$