Question 2 -Hospital records show that of patients suffering from a certain disease, 70% recover from it. Suppose we select a random sample of six patients. (a) Does this situation fit the assumptions of the binomial distribution? (b) What is the probability that 6 will recover? (c) Use the binomial probability distribution formula to determine the exact probability that four of the six sampled patients will recover?

Question 3 -Kolzak Appliance Outlet just received a shipment of 15 TV sets. Shortly after they were received, the manufacturer called to report that he had inadvertently shipped 5 defective sets. Ms. Kolzak, the owner of the outlet, decided to test 4 of the 15 sets she received. What is the probability that none of the four sets tested is defective?

Question 4 -A researcher knows that in a given neighborhood, 45% of the households have incomes over $100,000. What is the probability that in a random sample of 10 households from that neighbourhood: (a)exactly 5 households will have incomes over $100,000? (b)3 or fewer households will have incomes over $100,000? (c)more than 6 households will have incomes over $100,000?