Question

A new test has been developed to detect a particular type of cancer. The test must be evaluated before it is put into use. A medical researcher selects a random sample of 2,000 adults and finds (by other means) that 4% have this type of cancer. Each of the 2,000 adults is given the test, and it is found that the test indicates cancer in 96% of those who have it and in 2% of those who do not.
a) What is the probability of a randomly chosen person having cancer given that the test indicates cancer?
b)What is the probability of a person having cancer given that the test does not indicate cancer

Answer 1

a) 1920

Answer 2

b) 40