A new analytical method to detect pollutants (D) in water is being tested. This newmethod of chemical analysis is important because, if adopted, it could be used to detectthree different contaminants-organic pollutants (O), volatile solvents (V), andchlorinated compounds (C)-instead of having to use a single test for each pollutant. Themakers of the test claim that it can detect high levels of organic pollutants with 99.7%accuracy, volatile solvents with 99.95% accuracy, and chlorinated components with89.7% accuracy. If a pollutant is not present, the test does not signal. Samples areprepared for the calibration of the test and 60% of them are contaminated with organicpollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. Atest sample is selected randomly.(a) What is the probability that the test will signal?(b) If the test signals, what is the probability that chlorinated compounds are present?Note: Use the notations in the brackets to describe the events.

Name: A new analytical method to detect pollutants (D) in water is being te
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Description: A new analytical method to detect pollutants (D) in water is being tested. This newmethod of chemical analysis is important because, if adopted, it could be used to detectthree different contaminants-organic pollutants (O), volatile solvents (V), an

Let : X1 be the event that samples are contaminated with organic pollutants X2 be the event that…

Answered: (a) What is the probability that the…

Math

Probability

(a) What is the probability that the test will signal? (b) If the test signals, what is the probability that chlorinated compounds are present?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.2: Guassian Elimination And Matrix Methods

Problem 84E: Explain the differences between Gaussian elimination and Gauss-Jordan elimination.

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