[Step-by-Step] The ELISA is a test to determine whether the HIV antibody is present. If HIV antibody is present, ELISA has 99.5% chance of identifying its
Question: The ELISA is a test to determine whether the HIV antibody is present. If HIV antibody is present, ELISA has 99.5% chance of identifying its presence. However, if HIV antibody is not present, ELISA has 0.6% chance of identifying the presence of HIV antibody (false positive). 1% of the population has HIV antibody.
- One person is randomly selected and tested using ELISA. ELISA reported the presence of HIV antibody. What is the probability that the selected person actually carries the HIV antibody?
- Three people are randomly selected and tested independently using ELISA. All three tests reported the presence of HIV antibodies. What is the probability that at least one of the three people actually carries the HIV antibody?
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