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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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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