A new phone-answering system installed by a certain utility company is capable of handling ten calls every 5 minutes. Prior to installing the new system, company analysts determined that the incoming calls to the system are Poisson distributed with a mean equal to four every 5 minutes. If the analysts are correct about this incoming call distribution, what is the probability that in a 5-minute period more calls will arrive than the system can handle? Based on this probability, comment on the adequacy of the new answering system. The probability that more calls will arrive than the system can handle is

A new phone-answering system installed by a certain utility company is capable of handling ten calls every 5 minutes. Prior to installing the new system, company analysts determined that the incoming calls to the system are Poisson distributed with a mean equal to four every 5 minutes. If the analysts are correct about this incoming call distribution, what is the probability that in a 5-minute period more calls will arrive than the system can handle? Based on this probability, comment on the adequacy of the new answering system. The probability that more calls will arrive than the system can handle is

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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