Determine the probability that hiv virus is really present


Enzyme-linked immunosorbent assay (ELISA) is the most common type of screening test for detecting the HIV virus.  A positive result from and ELISA has a high degree of sensitivity (to detect infection) and specificity (to detect non-infection).  Suppose the probability that a person is infected with the HIV virus for a certain population is 0.015.  If the HIV virus is actually present, the probability that the ELISA test will give a positive result is 0.995.  If the HIV virus is not actually present the probability of a positive result from and ELISA is 0.01.  If the ELISA has given a positive result, use Bayes' theorem to find the probability that the HIV virus is actually present.

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Microeconomics: Determine the probability that hiv virus is really present
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