1.Suppose that one of every 500 people in a certain population has a particular disease, which displays no symptoms. A blood test is available for screening for this disease. For a person who has this disease, the test always turns out positive. For a person who does not have the disease, however, there is a 2% false positive rate--in other words, for such people, 98% of the time the test will turn out negative, but 2% of the time the test will turn out positive and will incorrectly indicate that the person has the disease.

a.Let p be the probability that a person who is chosen at random from this population and gets a positive test result actually has the disease. What is the value of p (in fraction)?

b.What is the recall rate and precision rate? Show your computation for both problems