Use Bayes' theorem to solve this problem.
A certain virus infects 10 in every 5000 people. A test used to detect the virus in a person is positive 96% of the time if the person has the virus and 2% of the time if the person does not have the virus (false positive).
Find the following probabilities. Enter your answer as a percent, rounded to the nearest HUNDREDTH of a percent.
(a) The probability that a person really has the virus given that they have tested positive
P(virus| +) = Answer
%
(b) Find the probability that a person does not have the virus given that they test negative
P(no virus | −) =Answer
%
1 answer
so, what does Bayes' theorem say?
1 answer