Additional Algo $14-5$ Expected On$-$Hand Inventory $-$ Poisson Demand

Demand for a product follows the Poisson distribution with a mean of $0\mathrm{.}2.$ If the lead time is $5$ periods and the order up to level is $3.$ Use Table $14$A$\mathrm{.}2.$

What is the expected on$-$hand inventory?

Note: Round your answer to $2$ decimal places.