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Statewide Auto Parts uses a four-week periodic review system to reorder parts for its inventory stock....

Statewide Auto Parts uses a four-week periodic review system to reorder parts for its inventory stock. A one-week lead time is required to fill the order. Demand for one particular part during the five-week replenishment period is normally distributed with a mean of 20 units and a standard deviation of 8 units. Do not round intermediate calculations.

  1. At a particular periodic review, 7 units are in inventory. The parts manager places an order for 20 units. What is the probability that this part will have a stock-out before an order that is placed at the next four-week review period arrives? If required, round your answer to four decimal places.

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