The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"+ proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast- iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with = 1. (Round your answers to three decimal places.) (a) Obtain P(X ≤ 4) by using the Cumulative Poisson Probabilities table in the Appendix of Tables. P(X ≤ 4) = (b) Determine P(X= 1) from the pmf formula. P(X = 1) = Determine P(X= 1) from the Cumulative Poisson Probabilities table in the Appendix of Tables. P(X= 1) = (c) Determine P(1 ≤ x ≤ 3). P(1 ≤ x ≤ 3) = (d) What is the probability that X exceeds its mean value by more than one standard deviation?
The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"+ proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast- iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with = 1. (Round your answers to three decimal places.) (a) Obtain P(X ≤ 4) by using the Cumulative Poisson Probabilities table in the Appendix of Tables. P(X ≤ 4) = (b) Determine P(X= 1) from the pmf formula. P(X = 1) = Determine P(X= 1) from the Cumulative Poisson Probabilities table in the Appendix of Tables. P(X= 1) = (c) Determine P(1 ≤ x ≤ 3). P(1 ≤ x ≤ 3) = (d) What is the probability that X exceeds its mean value by more than one standard deviation?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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![The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"t proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-
iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your
answers to three decimal places.)
(a) Obtain P(X ≤ 4) by using the Cumulative Poisson Probabilities table in the Appendix of Tables.
P(X ≤ 4) =
(b) Determine P(X = 1) from the pmf formula.
P(X = 1) =
Determine P(X = 1) from the Cumulative Poisson Probabilities table in the Appendix of Tables.
P(X = 1) =
(c) Determine P(1 ≤ X ≤ 3).
P(1 ≤ x ≤ 3) = |
(d) What is the probability that X exceeds its mean value by more than one standard deviation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8edd889e-338a-4275-872c-5b2b400b4e22%2F057f1bd2-3c69-4243-ad41-6ea58c502e88%2Fm4pse3z9_processed.png&w=3840&q=75)
Transcribed Image Text:The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"t proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-
iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your
answers to three decimal places.)
(a) Obtain P(X ≤ 4) by using the Cumulative Poisson Probabilities table in the Appendix of Tables.
P(X ≤ 4) =
(b) Determine P(X = 1) from the pmf formula.
P(X = 1) =
Determine P(X = 1) from the Cumulative Poisson Probabilities table in the Appendix of Tables.
P(X = 1) =
(c) Determine P(1 ≤ X ≤ 3).
P(1 ≤ x ≤ 3) = |
(d) What is the probability that X exceeds its mean value by more than one standard deviation?
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