In a population of interest, we know that, for adult males, 55% drink coffee, 25% drink tea and 20% drink cola. Those who drink coffee have a 60% chance of smoking. Similarly there is a 30% chance of smoking for those who drink tea and a 10% chance of smoking for those who drink cola. A person is randomly chosen from this population. What is the probability that he drinks coffee? (2 marks) 2. What is the probability that he smokes? (2 marks) 3. We know the selected person is a smoker, what is the probability that he drinks coffee? (4 marks) b Five smokers are randomly chosen. 1 What is the probability that none of them drinks coffee? 1 of them? All of them? (3 marks) 2. What is the expected number of coffee drinkers? (2 marks) Find the standard deviation for the number of coffee drinkers, (2 marks)