PROBLEM 2: Read the attached WSJ article "Questions about accuracy...\" We dene the following events: V: A person has coronavirus T: A person tests positive for the coronavirus The article points out a few useful observations: PM = p P(T|V} = .70 PlTlV') H 0 a. Assume the test is given in a city where only 1% of the residents are infected. If a person in that city tests negative, what is the probability that she has the coronavirus? b. Assume the test is given in a city where 20% of the residents are infected. If a person in that city tests negative, what is the probability that she has the coronavirus? c. Now assume the test is given in a city where the prevalence is equal to p. if a person in that city tests negative, what is the probability that she is infected? d. Given your answer to part c, briey comment on the following quote from page 2 in the article: "Dr. Smalley said a negative result is more likely to be accurate in places like Louisville where the prevalence is low, but could be virtually useless in New York, where it is high.\