Suppose that 8% of the patients tested in a clinic are infected with the flu virus. Also, suppose that when a blood test for the flu virus is given, 95% of the patients infected with flu virus test positive and 4% of the patients not infected with the flu virus test positive.
Find the following probabilities where: F = the patient is infected with the flu virus, E = the patient has tested positive for the flu virus.
a) a patient who tested positive for the flu virus with this test is infected with it.
b) a patient who tested positive for the flu virus with this test is not infected with it.
c) a patient who tested negative for the flu virus with this test is infected with it.
d) a patient who tested negative for the flu virus with this test is not infected with it.

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