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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
What is the probability that more than 3 calls but no more than 7 calls being received in a fifteen-minute period?
Calculate the
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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