The incidence of rust attack along a gas pipeline can be modeled as a Poisson process with intensity > per kilometer. This means that the number of rust attacks per kilometer along the pipeline can be assumed to be Poisson distributed with expected value λ. Assume initially that it is known that λ = 5. a) What is the probability of exactly four rust attacks within a kilometer? b) What is the probability of exactly two rust attacks within half a kilometer? c) What is the probability of more than two rust attacks within half a kilometer? d) A section of 7.5 kilometers has been closed down for remediation of rust attack. What is the probability that they find more than 40 rust infestations in this section?

The incidence of rust attack along a gas pipeline can be modeled as a Poisson process with intensity > per kilometer. This means that the number of rust attacks per kilometer along the pipeline can be assumed to be Poisson distributed with expected value λ. Assume initially that it is known that λ = 5. a) What is the probability of exactly four rust attacks within a kilometer? b) What is the probability of exactly two rust attacks within half a kilometer? c) What is the probability of more than two rust attacks within half a kilometer? d) A section of 7.5 kilometers has been closed down for remediation of rust attack. What is the probability that they find more than 40 rust infestations in this section?

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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