4. Assume 10% of people have a certain disease. A test gives the correct diagnosis with probability of 0.8; that is, if the person is sick, the test will be positive with probability 0.8, but if the person is not sick, the test will be positive with probability 0.2. A random person from the population has tested positive for the disease. What is the probability that he is actually sick?

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4. Assume 10% of people have a certain disease. A test gives the correct diagnosis
with probability of 0.8; that is, if the person is sick, the test will be positive with
probability 0.8, but if the person is not sick, the test will be positive with probability
0.2. A random person from the population has tested positive for the disease. What
is the probability that he is actually sick?
Transcribed Image Text:4. Assume 10% of people have a certain disease. A test gives the correct diagnosis with probability of 0.8; that is, if the person is sick, the test will be positive with probability 0.8, but if the person is not sick, the test will be positive with probability 0.2. A random person from the population has tested positive for the disease. What is the probability that he is actually sick?
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