Asked by heather
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
%
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
%
Answers
Answered by
oobleck
so, what does Bayes' theorem say?
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.