Management realizes that with its expanding business, more requests will be made to the central information system. Being den 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 x P(1) = 3454 X X X P(2) = 2890 P(3) = 1654 (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) P=1608 X (c) What is the average number of access lines in use? (Round your answers to two decimal places.) 2.09 (d) In planning for the future, management wants to be able to handle λ = 46 calls per hour. In addition, the probability that an agent will be denied access to the system should greater than the value computed in part (b). How many access lines should this system have?
Management realizes that with its expanding business, more requests will be made to the central information system. Being den 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 x P(1) = 3454 X X X P(2) = 2890 P(3) = 1654 (b) What is the probability that an agent will be denied access to the system? (Round your answers to four decimal places.) P=1608 X (c) What is the average number of access lines in use? (Round your answers to two decimal places.) 2.09 (d) In planning for the future, management wants to be able to handle λ = 46 calls per hour. In addition, the probability that an agent will be denied access to the system should greater than the value computed in part (b). How many access lines should this system have?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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I need help on this problem ASAP!! Been having issues with it, and can't seem to figure it out :/ it's the poisson method
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fc65bab-431c-4b06-9041-d9c5465a6c81%2Fcb852d3a-8b96-4cd8-9c8c-62a06f0eae47%2Fzv8p1l_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
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