Woot! specializes in "one day - one deal" selling. Every day they sell a product that is not available the next day. If the item sells out, all the excess demand is lost and if items are left over, they are salvaged and not sold again on a future day. On a particular Monday, Woot! sells Creative Labs blue-tooth adapter for only $15, buying them at $9 each. All unsold adapters are bought back by the supplier for $7 each. If Woot! estimates demand to be normally distributed with a mean 500 and a standard deviation of 70 units, then:

1. How many adapters should Woot! order from its supplier in order to achieve an in-stock probability of 95%?

2. Now, suppose instead that Woot!'s managers decide to submit an order of 550 adapters to its supplier. What is the Stock-Out probability for this order quantity?

3. A consultant with an MBA from DESB advises Woot! that fill-rate targets are more suited for their business. How many adapters should Woot! order from its supplier in order to achieve a fill-rate target of 98%?

4. Now, suppose that Woot!'s managers submit an order of 525 adapters to its supplier. What is the fill-rate for this order quantity?

Thank you!