En charge corrosion inside the pipes that are part of the cooling systems. The inside condition of the pipes cannot be observed directly but a non-destructive test can give an indication of possible corrosion. This test not infallible. The test has probability 0.9 of detecting corrosion when it is present but it also has probability 0.1 of falsely indicating internal corrosion. Suppose the probability that any section of pipe has internal corrosion is 0.1. What is the probability that a section of pipe has internal corrosion?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Engineers in charge of maintaining our nuclear fleet must continually check for corrosion
inside the pipes that are part of the cooling systems. The inside condition of the pipes cannot
be observed directly but a non-destructive test can give an indication of possible corrosion.
This test not infallible. The test has probability 0.9 of detecting corrosion when it is present
but it also has probability 0.1 of falsely indicating internal corrosion. Suppose the probability
that any section of pipe has internal corrosion is 0.1. What is the probability that a section of
pipe has internal corrosion?
Transcribed Image Text:Engineers in charge of maintaining our nuclear fleet must continually check for corrosion inside the pipes that are part of the cooling systems. The inside condition of the pipes cannot be observed directly but a non-destructive test can give an indication of possible corrosion. This test not infallible. The test has probability 0.9 of detecting corrosion when it is present but it also has probability 0.1 of falsely indicating internal corrosion. Suppose the probability that any section of pipe has internal corrosion is 0.1. What is the probability that a section of pipe has internal corrosion?
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