Question: please answer correctly A patient is diagnosed with a disease that affects 0.05% of the population. The doctor warns the patient however that the test

please answer correctly

A patient is diagnosed with a disease that affects 0.05% of the population. The doctor warns the patient however that the test is not very accurate: the false positive (FP) rate is 0.08 and false negative (FN) rate is 0.04. (a) What is the probability that the patient actually has the disease. (b) To be more certain, the patient is advised to take a more thorough test (which is of course expensive) with F P = 0.03 and F N = 0.01. What is the probability that the patient actually has the disease if he is tested positive in the second test? (c) What is this probability if he is tested negative in the second test

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