2.2 Law of total probability and Bayes rule [10 points In a population of patients, the probability of having a condition C is 0.8 if the patient is a heavy smoker (Event H); 0.5 if the patient is a light smoker (Event S) 0.1 if the patient is not a smoker at all (Event N) The population is 40% heavy smokers, 50% light smokers and 10% non-smokers. From this information compute a) the probability of having condition C b) the probability of being a smoker (heavy or light), given condition C