I would like this question to be answer in the predictive value positive and negativeapproach with sensitivity, specificity, false positive prevalence etc highlighted. A certain virus infects one in every 200 people. A test used to detect the virus in a person is positive 80% of the time when the test has the virus and 5% of the time when the person does not have the virus. Le A be the event "the person is infected" and B is the event "the person tests positive".

a) using bayes' theorem when a person tests positive determine the probability that the person is infected

b) using bayes theorem when a person tests negative, determine the probability that a person is notinfected