HELM (2008): Workbook 37: Discrete Probability Distributions HELME Exercises continued 10. A factory uses tools of a particular type. From time to time failures in these tools occur and Poisson distribution wi they need to be replaced. The number of such failures in a day has mean 1.25. At the beginning of a particular day there are five replacement tools in stock. A new delivery of replacements will arrive after four days. If all five spares are used before the new delivery arrives then further replacements cannot be made until the delivery arrives. Find (a) the probability that three replacements are required over the next four days. (b) the expected number of replacements actually made over the next four days.
HELM (2008): Workbook 37: Discrete Probability Distributions HELME Exercises continued 10. A factory uses tools of a particular type. From time to time failures in these tools occur and Poisson distribution wi they need to be replaced. The number of such failures in a day has mean 1.25. At the beginning of a particular day there are five replacement tools in stock. A new delivery of replacements will arrive after four days. If all five spares are used before the new delivery arrives then further replacements cannot be made until the delivery arrives. Find (a) the probability that three replacements are required over the next four days. (b) the expected number of replacements actually made over the next four days.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:HELM (2008):
Workbook 37: Discrete Probability Distributions
HELM
Exercises continued
10. A factory uses tools of a particular type. From time to time failures in these tools occur and
they need to be replaced. The number of such failures in a day has a Poisson distribution with
mean 1.25. At the beginning of a particular day there are five replacement tools in stock. A
new delivery of replacements will arrive after four days. If all five spares are used before the
new delivery arrives then further replacements cannot be made until the delivery arrives.
Find
(a) the probability that three replacements are required over the next four days.
(b) the expected number of replacements actually made over the next four days.
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