Question

Problem 9: Suppose the probability of being infected with a certain virus is 0.005. A test used to detect the virus is positive 90% of the time given that the person tested has the virus, and positive 5% of the time given that the person tested does not have the virus. (2 points)

a. Use Bayes’ Theorem to find the probability that a person has the virus, given that they tested positive. Clearly show your work and how you are using the theorem.

b. Now, create a contingency table for this problem (your preference):

Answer 1