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Suppose that the average number of calls received by customer services is 20 per hour. Assume Poisson distribution to answer the following questions:  What is the probability that at least 12 calls will arrive in a thirty-minute period?  What is the probability that at most 8 calls will arrive in a twenty-minute period?  What is the probability that more than 3 calls but no more than 7 calls being received in a fifteen-minute period?  Calculate the mean, variance, and standard deviation of this model?  What is the 85th percentile of the distribution of number of calls received per hour?  Is Poisson distribution a good model in this case? Explain how each assumption for Poisson fits here.

Suppose that the average number of calls received by customer services is 20 per hour. Assume Poisson distribution to answer the following questions:  What is the probability that at least 12 calls will arrive in a thirty-minute period?  What is the probability that at most 8 calls will arrive in a twenty-minute period?  What is the probability that more than 3 calls but no more than 7 calls being received in a fifteen-minute period?  Calculate the mean, variance, and standard deviation of this model?  What is the 85th percentile of the distribution of number of calls received per hour?  Is Poisson distribution a good model in this case? Explain how each assumption for Poisson fits here.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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Suppose that the average number of calls received by customer services is 20 per hour. Assume Poisson distribution to answer the following questions: 

What is the probability that at least 12 calls will arrive in a thirty-minute period?  What is the probability that at most 8 calls will arrive in a twenty-minute period? 

What is the probability that more than 3 calls but no more than 7 calls being received in a fifteen-minute period? 

Calculate the mean, variance, and standard deviation of this model? 

What is the 85th percentile of the distribution of number of calls received per hour? 

Is Poisson distribution a good model in this case? Explain how each assumption for Poisson fits here. 

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