d) What is the expected number of rescheduling in one year? e) What is the expected yearly cost to the company for the production line rescheduling?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Question 2: Poisson distribution!
Based on the received order a manufacturer is rescheduling the available resources on a production line once every six months on average. Every rescheduling costs the
company 1300 KD. Suppose that the number of rescheduling needed by the manufacturer follows a Poisson distribution.
a)
What is the probability that the manufacturer will need rescheduling three times in six months?
b)
What is the probability that the manufacturer will need rescheduling three times in one year?
с)
What is the probability that the manufacturer will need rescheduling at least three times in one year? [
d)
What is the expected number of rescheduling in one year?
e)
What is the expected yearly cost to the company for the production line rescheduling?
Transcribed Image Text:Question 2: Poisson distribution! Based on the received order a manufacturer is rescheduling the available resources on a production line once every six months on average. Every rescheduling costs the company 1300 KD. Suppose that the number of rescheduling needed by the manufacturer follows a Poisson distribution. a) What is the probability that the manufacturer will need rescheduling three times in six months? b) What is the probability that the manufacturer will need rescheduling three times in one year? с) What is the probability that the manufacturer will need rescheduling at least three times in one year? [ d) What is the expected number of rescheduling in one year? e) What is the expected yearly cost to the company for the production line rescheduling?
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