Question

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

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
__________

Math   Statistics-And-Probability   
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Homework Answers

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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