A lawn and garden retailer operates 4 stores in the city. One of its most popular items is a lawn tractor. Weekly customer demand is distributed ​N​(10,5​2​) 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. In excel-What is the probability of a stockout in that store? b. In EXCEL-What is the probability of a stockout in at least one 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. In EXCEL-How often will a store experience a stockout now? *note, show steps and EXCEL functions used for each part in EXCEL

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A lawn and garden retailer operates 4 stores in the city. One of its most popular items is a lawn tractor. Weekly customer demand is distributed ​N​(10,5​2​) 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. In excel-What is the probability of a stockout in that store?

b. In EXCEL-What is the probability of a stockout in at least one 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. In EXCEL-How often will a store experience a stockout now?

*note, show steps and EXCEL functions used for each part in EXCEL

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