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Mathematics, 01.12.2021 18:30 yah2muchh

ELISA tests are used to screen donated blood for the presence of the AIDS virus. The test actually detects antibodies when the virus is present. When antibodies are present, ELISA is positive with probability about 0.997 and negative with probability 0.003. When the blood tested is not contaminated with AIDS antibodies, ELISA gives a positive result with probability 0.015. Suppose that 1% of a large population carries the AIDS antibody in their blood. Required:
Find the probability that a randomly chosen person has the antibody given that the test is positive.

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