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In a large state 5 individuals are infected with Corona virus Suppose a particular test used for detecting the corona virus detects the virus 93

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In a large state 5 individuals are infected with Corona virus Suppose a particular test used for detecting the corona virus detects the virus 93 of the time i e if someone has corona virus the test detects it 93 of the time the remaining 7 of the time the test gives false negative But the test also gives a false positive 3 of the time Suppose a randomly selected individual tests positive for the Corona virus Given this test result what is the probability that the individual is actually infected with corona virus 0 075 0 21 0 93 03 7 0 62 0 90 0 58

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