Question

It’s known that 3 % of people in a certain population have the
disease. A blood test gives a

positive result (indicating the presence of disease) for 90% of
people who have the disease,

and it is also positive for 5% of healthy people

One person is tested and the test gives positive result

If the test result is positive for the person, then the
probability that this person actually has

a disease is _________

If the test result is positive for the person, then the
probability that this person is healthy is

__________

Answer #1

Let us denote the events

A : a randomly selected person tested positive

B : a randomly selected person actually has a disease

Given

Now,

If the test result is positive for the person, then the probability that this person actually has a disease is

If the test result is positive for the person, then the probability that this person is healthy is

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the disease?
Round your answer to the nearest hundredth.

Dear Expert
Could you please answer below question?
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