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1)    A lawn and garden retailer operates 4 stores in the DFW Metroplex. One of its...

1)    A lawn and garden retailer operates 4 stores in the DFW Metroplex. One of its most popular items is a lawn tractor. Weekly customer demand is distributed N(10,52) at each store. Each store replenishes its stock to 15 lawn tractors at the start of each week. Note: Assume that weekly demands at each store are independent.

a)   Consider just one store. What is the probability of a stockout in that store?

b)   What is the probability of a stockout in at least two of the four stores?

c)   Suppose that the four stores decide to pool their stock. Specifically, they decide to pool their weekly allocations (4 X 15 = 60) in a centrally located warehouse and draw from it as needed to satisfy their demand. How often will a store experience a stockout now?

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