Question: A screening test for a certain virus is prone to giving false positives or false negatives. If a patient being tested has the virus, the

A screening test for a certain virus is prone to giving false positives or false negatives. If a patient being tested has the virus, the probability that the test indicates a (false) negative is 0.12. If the patient does not have the virus, the probability that the test indicates a (false) positive is 0.15. Assume that 8% of the patients being tested actually have the virus. Suppose that one patient is chosen at random and tested. Find the probability that

Does not have the virus and tests negative

Does not test negative

Test to see if tests positive and has the virus are independent

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