A large toy company M$$ttel currently allows toy retailers to place orders with delivery in $2$ weeks. The Gigantic Pocket Monster $($Gipokmon$)$ is a new toy that M$$ttel has introduced. M$$ttel charges a wholesale price of $$10$ for the Gipokmon. The manager of a small boutique toy retail company, TOYS$-$are$-$MINE, plans to sell the toy for $$20$ and incurs a holding cost of $$0\mathrm{.}1$ per toy per week. At this price, demand per week for the toy at one of their stores is estimated to be Poisson distributed with a mean of $1\mathrm{.}5$ units. Assume that the backorder cost is equal to the product$$s retail margin. Assume TOYS$-$are$-$MINE uses the order$-$up$-$to model to plan orders and deliveries to this store.

Suppose an order$-$up$-$to level of $3$ is established. What would be the expected end$-$of$-$period on$-$hand inventory of Gipokmons? $($Answer to $2$ decimal places$)$