Suppose That Only 8% of a Large Population Has a Certain

Short Answer

Suppose that only 8% of a large population has a certain disease. A diagnostic test has been developed which is 90% accurate for people with the disease (90% of people with the disease test positive), and 85% accurate for people without the disease (85% of people without the disease test negative). Define the following events:
A = person has the disease
B = person tests positive on the diagnostic test
-Given that a person tests positive on the diagnostic test, what is the probability he or she has the disease?