Question

A screening test for a disease shows a positive test result in 95% of all cases when the disease is actually present and in 15% of all cases when it is not. Assume that the prevalence of the disease in the population is 1 in 50.
1) if such test is administered to randomly chosen individual, what is the probability that the test result is positive?
2) if an individual tests positive, what is the probability that the individual actually has the disease?

Answer 1

baye's formula problem right?

Answer 2

yeah

Answer 3

i actually attempted but not sure if my answer is near correct

Answer 4

these are actually easiest to do with numbers. you will get the same answer and it will seem less confusing