Use Appendix $14$A$.$ EShack sells an ergonomic keyboard in one of its stores. Average weekly demand for this keyboard follows a Polsson distribution with mean $1\mathrm{.}0$ unit. It submits orders to the supplier weekly and the supplier delvers with a $2-$week lead time.

a$.$ Suppose It uses an order$-$up$-$to level of $5.$ What is its average order quantity?

Note: Round your answer to $1$ decimal place.

b$.$ Suppose It uses an order$-$up$-$to level of $9.$ What is its expected on$-$hand inventory? Note: Round your answer to $1$ decimal place.

c$.$ Suppose It uses an order$-$up$-$to level of $6.$ What is its expected on$-$order inventory? Note: Round your answer to $1$ decimal place.

d$.$ Suppose It uses an order$-$up$-$to level of $7.$ What is its in$-$stock probability? Note: Round your answer to $4$ decimal places.

e$.$ Suppose It uses an order$-$up$-$to level of $4.$ What is its stockout probability?

Note: Round your answer to $4$ decimal places.

f$.$ Suppose it wants a $0\mathrm{.}98$ in$-$stock probability. What should its order$-$up$-$to level be$?$