The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 89.70% accuracy, and chlorinated compounds with 99.70% accuracy. If an algal bloom 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. Denote as follows: S = signal, O = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet)

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The DENR has a new procedure to detect algal bloom in water being tested. This new procedure
is important because, it could be used to detect three different contaminants-organic pollutants,
volatile solvents, and chlorinated compounds. The department claims that it can detect high
levels of organic pollutants with 99.95% accuracy, volatile solvents with 89.70% accuracy, and
chlorinated compounds with 99.70% accuracy. If an algal bloom 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.
Denote as follows: S = signal, O = organic pollutants, V = volatile solvents, C = chlorinated
compounds. If the test signals, what is the probability that chlorinated compounds are present?
(Show complete solution in your answer sheet)
O a. P(CIS) = 0.1386
Ob.P(C|S) = 0.1184
OC. None among the choices
Od. P(CIS) = 0.1334
Transcribed Image Text:The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 89.70% accuracy, and chlorinated compounds with 99.70% accuracy. If an algal bloom 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. Denote as follows: S = signal, O = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet) O a. P(CIS) = 0.1386 Ob.P(C|S) = 0.1184 OC. None among the choices Od. P(CIS) = 0.1334
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