Question

Among 60- to 65-year old men, 31% are smoker, 15% have lung disease, and 12% are both smoker and have lung disease. Let A be the event of being smoker and B be the event of having lung disease.

(a) What is the probability that a randomly selected 60- to 65-year old men either a smoker or has lung disease?

(b) What is the probability that a randomly selected smoker has lung disease?

(c) Are smoking and having lung disease independent? Explain.

(d) Draw a Venn Diagram that shows the relation between the events A and B. Label each of the following events on your diagram, calculate the probability of each event, and describe in words what each event represents in the context of the problem. i. A and B ii. Ac and B iii. A and Bc iv. Ac and Bc

Answer 1