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):
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