Suppose that the manager is using the EOQ$/$ROP model described in part a$.$ One day after placing an order with the producer, the manager receives a call from the producer saying that the order will be delayed because of problems at the producer$$s plant. The producer promises to have the order there in two days. After hanging up$,$ the manager checks the inventory of vanilla ice cream and finds that $1$ litres have been sold since the order was placed. Assuming that the producer$$s promise is valid, what is the probability that the store will run out of vanilla ice cream before the shipment arrives? $($Round your intermediate calculations to $2$ decimal places and the final answer to $4$ decimal places.$)$

Probability