A factory use predictive maintenance to monitor the performance and condition of operation tools during regular operation to reduce the likelihood of failures. From the analysis, the number of operation tools failures in a day follows a Poisson distribution with an average of 1.25 failures. On a particular day, the stock keeper reported that there were only five replacement tools in stock. A new delivery of replacements tools will only arrive after four days. If all five replacement tools are used before the new delivery arrives, a further replacement cannot be done until the delivery arrives. (i) Determine the probability that three replacements of operation tools are required over the next four days. (ii) Determine the expected number of replacements made over the next four days. (You must show all of the details of your calculations)
A factory use predictive maintenance to monitor the performance and condition of operation tools during regular operation to reduce the likelihood of failures. From the analysis, the number of operation tools failures in a day follows a Poisson distribution with an average of 1.25 failures. On a particular day, the stock keeper reported that there were only five replacement tools in stock. A new delivery of replacements tools will only arrive after four days. If all five replacement tools are used before the new delivery arrives, a further replacement cannot be done until the delivery arrives. (i) Determine the probability that three replacements of operation tools are required over the next four days. (ii) Determine the expected number of replacements made over the next four days. (You must show all of the details of your calculations)
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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
Transcribed Image Text:A factory use predictive maintenance to monitor the performance and condition of operation tools
during regular operation to reduce the likelihood of failures. From the analysis, the number of
operation tools failures in a day follows a Poisson distribution with an average of 1.25 failures. On
a particular day, the stock keeper reported that there were only five replacement tools in stock. A
new delivery of replacements tools will only arrive after four days. If all five replacement tools are
used before the new delivery arrives, a further replacement cannot be done until the delivery arrives.
(i) Determine the probability that three replacements of operation tools are required over the next
four days.
(ii) Determine the expected number of replacements made over the next four days. (You must show
all of the details of your calculations)
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