Anew, simple 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 othermeans) that 3% have this type of cancer. Each of the 2,000 adults is given thetest, and it is found that the test indicates cancer in 96% of those who have it and in 1% of those who do not.

Based on theseresults, what is the probability of a randomly chosen person having cancer given that the test indicatescancer?

What is the probability of a person having cancer given that the test does not indicatecancer?