A new phone-answering system installed by a certain utility company is capable of handing nine 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 (Round to four decimal places as needed.) CIT
A new phone-answering system installed by a certain utility company is capable of handing nine 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 (Round to four decimal places as needed.) CIT
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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![A new phone-answering system installed by a certain utility company is capable of handling nine 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
(Round to four decimal places as needed.)
Cams](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08138d8d-dc38-41d5-9d6c-fece01723398%2Fa8eaa76e-3eaf-4e0a-add8-6a8660d64210%2F56pfdec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A new phone-answering system installed by a certain utility company is capable of handling nine 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
(Round to four decimal places as needed.)
Cams
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