Question

in a certain town 40% of men are smokers. It is known that 6% of men in this town have lung disease. Of those men having lung disease 85% are smokers. A man is selected at random from this town. Consider the events: D<<the selected man has a lung disease>> and S<<the selected man is a smoker>>.
1)Calculate the probability of<<the selected man is a smoker and has lung disease>>
2)Calculate the probability of << the selected man is a nonsmoker and has a lung disease>>
3)The selected man does not have a lung disease. Calculate the probability that he is a smoker.
4)Calculate the probability of<<the selected man has a lung disease knowing that he is a smoker.