12% of the over-60 population of Agento have lung cancer
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
12% of the over-60 population of Agento have lung cancer. Of those with lung cancer, 50% were heavy smokers, 40% were moderate smokers, and 10% were non-smokers. Of those without lung cancer, 5% were heavy smokers, 15% were moderate smokers, and 80% were non-smokers.
A member of the over-60 population of Agento is chosen at random.
(1) Find the probability that the person was a heavy smoker.
(2) Given the person was a moderate smoker, find the probability that the person has lung cancer.
(3) Given the person was a non-smoker, find the probability that the person has lung cancer.