The number of times a machine malfunctions per week follows a Poisson distribution and the probability that it does not malfunction at all during one week equals e1/3, What is the expected value of the number of times it malfunctions in a certain 8 week period? What is the variance in the number of times it malfunctions in that 8 week period?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 9E
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The number of times a machine malfunctions per week follows a Poisson distribution and the probability that it does not malfunction at all during one week equals e-1/3,
What is the expected value of the number of times it malfunctions in a certain 8 week period?
What is the variance in the number of times it malfunctions in that 8 week period?
Transcribed Image Text:The number of times a machine malfunctions per week follows a Poisson distribution and the probability that it does not malfunction at all during one week equals e-1/3, What is the expected value of the number of times it malfunctions in a certain 8 week period? What is the variance in the number of times it malfunctions in that 8 week period?
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,