SOLUTION: A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be det

Question 1168484: A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.82. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.1. It is estimated that 20 % of the population who take this test have the disease.
If the test administered to an individual is positive, what is the probability that the person actually has the disease?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
========D+======D- =====Total
T+-------1640------800-------2440
T- -------360------7200-------7560
Total===2000====8000=====10000
test positive is 2440, and having the disease there is 1640, so the probability is 0.672
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