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Mathematics, 25.10.2019 06:43 emmalucilleblaha1995

Anew analytical method to detect pollutants in water is beingtested. this new method of chemical analysis is important because, if adopted, it could be used to detect three different contaminants– organic pollutants, volatile solvents, and chlorinatedcompounds – instead of having to use a single test for eachpollutant the makers of the test claim that it can detect highlevels of organic pollutants with 99.7% accuracy, volatile solventswith 99.95% accuracy, and chlorinated compounds with 89.7%accuracy. if a pollutant is not present, the test does not signal. samples are prepared for the calibration of the test and 60% ofthem are contaminated with organic pollutants, 27% with volatilesolvents, and 13% with traces of chlorinated compounds. a testsample is selected randomly.(a) whatis the probability that the test will signal? (b) ifthe test signals, what is the probability that chlorinatedcompounds are present?

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