Only 2 in 1,000 adults are known to have a certain rare disease for which a diagnostic test has been developed. If an individual has the disease, the result is positive 97% of the time, but 4% of the time the diagnosis is positive, the individual does not really have the disease. Suppose a randomly selected individual is tested Given that the diagnostic result was positive, what is the probability that he actually has the disease?

Use Bayes Theorem