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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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 2.
Assume that it is a known A =
a) What is the probability of six rust occurrences within one kilometer.
6.5.
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
probability of at least 50 rust occurrences in this section?
Transcribed Image Text: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 2. Assume that it is a known A = a) What is the probability of six rust occurrences within one kilometer. 6.5. 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 probability of at least 50 rust occurrences in this section?
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