Pipeline fractures. A group of maintenance engineers are responsible for the proper functioning of a 20-km long

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Pipeline fractures. A group of maintenance engineers are responsible for the proper functioning of a 20-km long gas pipeline. If there is a pipeline failure, they would need to physically inspect the whole stretch to discover the fracture. If X is how far the fracture is from them, X can be modeled as a uniform random variable on the interval from 0 to 20 km.

a) What is the probability that the fracture is found within the first stretch of 5 km?

b) What is the probability that the fracture is found only after inspecting 16 km of the pipeline?

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Business Statistics

ISBN: 9781292269313

4th Global Edition

Authors: Norean Sharpe, Richard De Veaux, Paul Velleman

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