Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 36 calls per hour. The service rate per line is 22 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0) = 2032 P(1) = .3454 P(2) = 2890 P(3) = 1654 XXXX (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) = 1608 Pk X (c) What is the average number of access lines in use? (Round your answers to two decimal places.) 2.09 X U (d) In planning for the future, management wants to be able to handle 2 = 46 calls per hour. In addition, the probability that an agent will be denied access to the system should be no greater than the value computed in part (b). How many access lines should this system have? 8

Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 36 calls per hour. The service rate per line is 22 calls per hour. (a) What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.) P(0) = 2032 P(1) = .3454 P(2) = 2890 P(3) = 1654 XXXX (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) = 1608 Pk X (c) What is the average number of access lines in use? (Round your answers to two decimal places.) 2.09 X U (d) In planning for the future, management wants to be able to handle 2 = 46 calls per hour. In addition, the probability that an agent will be denied access to the system should be no greater than the value computed in part (b). How many access lines should this system have? 8

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 8CR

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