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The test indicates that impurity is present. What is the probability that the compound actually has the impurity

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A chemist wishes to detect an impurity in a certain compound that she is making. There is a test that detects an impurity with probability 0.90; this test indicates that an impurity is there when it is not about 5% of the time. The chemist produces compound with the impurity about 20% of the time. A compound is selected at random from the chemist's output. The test indicates that impurity is present. What is the probability that the compound actually has the impurity?

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