Question: The probability of exposure to a virus in a blood transfusion is .001 at a particular hospital. A man who had a blood transfusion at that hospital is later tested for the presence of the virus, and the test is negative. The probability that the test will result in a false negative (i.e., that it will fail to detect the presence of the virus) is .01. What is the probability that the man was exposed to the virus and that the screening test failed to detect it?

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