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Public health and Nutrition. Tobacco smoke contains more than 7000
chemicals, many that are toxic and several that are known to cause cancer. As a result, many smokers try various methods to quit. Consider a group of smokers who want to quit. In this group, 2.7% have tried an electronic cigarette, or e-cigarette. Of those who have tried e-cigarettes, 31% quit smoking after six months. Of those people who tried some other method, suppose 17% quit smoking after six months.
Suppose a smoker who would like to quit is selected at random.
(a) What is the probability (±0.0001) that the smoker tried e-cigarettes and quit smoking after six months?
P(E∩Q) =
(b) What is the probability (±0.0001) that the smoker quit after six months?
P(Q) =
(c) Suppose the smoker quit smoking after six months. What is the probability (±0.0001) that she tried e-cigarettes?
P(E|Q) =
 
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