6 Q43 Poisson Super Market 4 points each a. A super market manager notices that

Question

6 Q43 Poisson Super Market 4 points each a. A super market manager notices that on during any 15 minute time period there are an average () of 5 customers are on line. What is the probability that during any 15 minute period there will be exactly 6 customers on line. b. A super market manager notices that on average 102 customers are in his store during any 30 minute period. There is one check out line. A average of 5 customers are on line during any 15 minute perion monitored by the manager. What is the probability that during any 15 minute period there will be between 5 and 7 (inclusive) customers on line.

Explanation / Answer

a)

Poisson Probability: P(X = 6) = 0.146

b)

Cumulative Probability: P(X < 7) -Cumulative Probability: P(X < 5) = 0.86 - 0.384 = 0.476

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