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

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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