SOLUTION: One in a thousand people is a carrier of a particular heart disease. There is a test to detect this disease. The test is 100% accurate for people who have the disease, and is 95%

Algebra ->  Permutations -> SOLUTION: One in a thousand people is a carrier of a particular heart disease. There is a test to detect this disease. The test is 100% accurate for people who have the disease, and is 95%      Log On


   

Question 912953: One in a thousand people is a carrier of a particular heart disease. There is a test to detect this disease.
The test is 100% accurate for people who have the disease, and is 95% accurate for those who don't
(this means that 5% of people who do not have the disease will be wrongly diagnosed as having it). If a
randomly selected person tests positive, what is the probability that the person actually has the disease?
i just need help with the parameters, in the question imagine
A= has the disease
B =test result positive.
so will
A be 1/1000 , A' = 999/1000 ?
and i dont know what B will be, please help
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
If a randomly selected person tests positive,
P(A|B) = P(A and B)/P(B)
P(has|gets pos result) = %281%2F1000%29%2F%2851%2F1000%29 = 1/51
Note: .05*999 = 50 people
51/1000 test positive