Mathematics, 13.12.2019 03:31 nateqqj
Suppose the probability of being infected with a certain virus is 0.001. a test used to detect the virus is positive 99% of the time if the person test has the virus, and positive 5% of the time if the person does not have the virus. use bayes theorem to find the probability that a person is infected with the virus, given that they test positive. clearly show your work and how you are using the theorem.
Answers: 2
: a person is not infected with the virus
= 0.999. A test used to detect the virus is positive 99% of the time if the person test has the virus is equivalent to P(B|A) = 0.99. And positive 5% of the time if the person does not have the virus means 
=0.05. We want to find the probability that a person is infected with the virus, given that they test positive, i.e., P(A|B). Bayes Theorem tell us that 
=0.0194
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