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Natali5045456 [20]
2 years ago
12

A new analytical method to detect pollutants in water is being tested. This new method of chemical analysis is important because

, if adopted, it could be used to detect three different contaminates - organic pollutants, volatile solvents, and chlorinated compounds - instead of having to use a single test for each pollutant. The makers of the test claim that it can detect high levels of organic pollutants with 99.7% accuracy, volatile solvents with 99.92% 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% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly.(a) Whatis the probability that the test will signal?
(b) Ifthe test signals, what is the probability that chlorinatedcompounds are present?
Mathematics
1 answer:
Andreas93 [3]2 years ago
5 0

Answer:

Step-by-step explanation:

levels of organic pollutants with 99.7% accuracy

levels of volatile solvents with 99.92% accuracy

levels of chlorinated compounds with 89.7% accuracy

samples:

60% contaminated with organic pollutants

27% contaminated with volatile solvents

13% contaminated with traces of chlorinated compounds

a) probability that the test will signal?

P = 0.997*0.6 + 0.9992*0.27 + 0.897*0.13 = 0.5982 + 0.269784 + 0.11661  = 0.984594  = 98.45%

b) If the test signals, the probability that chlorinated compounds are present?

P = 0.897*0.13/0.984594 = 0.11661/0.984594 = 0.1184346035  = 11.84%

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