At a maintenance facility the standard policy with respect to the replenishment of a particular fluid is:
When the amount of fluid remaining drops to 100 litres a replenishment order is placed and during the time the replenishment is on order the demand is exponential with 1/lambda = 80 litres
a. What is the probability that there will be a stock out?
b. Given that you, the maintenance officer at the facility, want the probability of a stock out to be no more than 5% what should the reorder point be?
c. Suppose now that you will do an analysis of the mean demand and you have gathered the following data on the demand during a replenishment cycle.
86,70,95,78,91,62,96
What is the 95% confidence interval on the mean demand?