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Engineers must determine if the interior of pipes are corroded. To determine if they are corroded...

Engineers must determine if the interior of pipes are corroded. To determine if they are corroded a test must be performed on the pipes. This test is not perfect however. The test has a probability of 0.7 of detecting corrosion when the corrosion is present and a probability of 0.1 of detection corrosion even when no corrosion is present. The probability that the pipe actually has internal corrosion is 0.15. If the test detects internal corrosion what is the probability that there is actually internal corrosion present?

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