Question

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^{-1/2}. What is the expected value of the number of times it malfunctions in a certain 52 week period? What is the variance in the number of times it malfunctions in that 52 week period?

          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^{-1/2}.
What is the expected value of the number of times it malfunctions in a certain 52 week period?

What is the variance in the number of times it malfunctions in that 52 week period?

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^-1/2.
What is the expected value of the number of times it malfunctions in a certain 52 week period?

What is the variance in the number of times it malfunctions in that 52 week period?

Added by Dana J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Penny Riley

01/10/2023

Step 1

We know that the number of times a machine malfunctions per week follows a Poisson distribution. The probability that it does not malfunction at all during one week is given as \( e^{-1/2} \). Show more…

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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-1/2. What is the expected value of the number of times it malfunctions in a certain 52 week period? What is the variance in the number of times it malfunctions in that 52 week period?