The incidence of rust attack along a gas pipeline can be modeled as a Poisson process with intensity λ per kilometer. This means that the number of rust attacks per kilometer along the pipeline can 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? What is the probability of exactly two rust attacks within half a kilometer? What is the probability of more than two rust attacks within half a kilometer?

The incidence of rust attack along a gas pipeline can be modeled as a Poisson process with intensity λ per kilometer. This means that the number of rust attacks per kilometer along the pipeline can 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? What is the probability of exactly two rust attacks within half a kilometer? What is the probability of more than two rust attacks within half a kilometer?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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