A laboratory blood test is 99% effective in detecting a certain diesease when it is fact present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e., if a healthy person is tested, then with probability 0.005, the test will imply he has the disease). If 0.1% of the population actually has the disease, what is the probability that a person has diease given that his test result is positive?

A laboratory blood test is 99% effective in detecting a certain diesea

1.	A laboratory blood test is 99% effective in detecting a certain diesease when it is fact present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e., if a healthy person is tested, then with probability 0.005, the test will imply he has the disease). If 0.1% of the population actually has the disease, what is the probability that a person has diease given that his test result is positive?
Answer» A laboratory blood test is 99% effective in detecting a certain diesease when it is fact present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e., if a healthy person is tested, then with probability 0.005, the test will imply he has the disease). If 0.1% of the population actually has the disease, what is the probability that a person has diease given that his test result is positive?