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

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Basic Math

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

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

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

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

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