Answered: The test indicates that impurity is…

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Probability

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.8: Probabilities Of Disjoint And Overlapping Events

Problem 2C

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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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