# . A local gas station waits4

**Question description**

A local gas station waits 4 days to receive a delivery of regular gasoline to replenish its inventory. The wait period to receive inventory is known as the lead time. The demand during the lead-time period for regular gasoline, as measured in gallons, follows the normal distribution with a mean of 930 gallons and standard deviation of 140 gallons.(10 point)

a) Which probability distribution will be for use of gasoline?

b) Which probability distribution we can use for the level of gasoline?

c) What is the probability that during the next lead time, the demand for regular gasoline will be less than 800 gallons?

d) Determine the reorder point that will ensure the station a 90% probability that will have enough inventory of regular gasoline until the next order arrives.

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