Occurrence of rust along a gasstubewire can be modeled as a Poisson process with intensity A per kilometer. That means that the number of rust-occurrences per kilometer along a tubewire kan be assumed to be poisson distributed with expectation value A. Assume that it is a known 1 = 6.5. a) What is the probability of six rust occurrences within one kilometer. b) What is the probability of three rust occurrences within a half kilometer(500m)? c) What is the probability of more than two rust occurrences within a half kilometer? 7.5 kilometer section is closed down due to rust occurrences. What is the
Occurrence of rust along a gasstubewire can be modeled as a Poisson process with intensity A per kilometer. That means that the number of rust-occurrences per kilometer along a tubewire kan be assumed to be poisson distributed with expectation value A. Assume that it is a known 1 = 6.5. a) What is the probability of six rust occurrences within one kilometer. b) What is the probability of three rust occurrences within a half kilometer(500m)? c) What is the probability of more than two rust occurrences within a half kilometer? 7.5 kilometer section is closed down due to rust occurrences. What is the
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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VIEWa) The probability of six rust occurrences within one kilometer:
VIEWb. The probability of three rust occurrences within half a kilometer:
VIEWc. The probability of more than two rust occurrences within half a kilometer:
VIEWc(ii) The probability of atleast 50 rust occurrences within 7.5 kilometer using R software:
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