7. A box contains 12 white marbles and 5 black marbles. Supposewe randomly draw a marble from the box, replace it, and thenrandomly draw another marble from the box. (This means that wemight observe the same marble twice). What is the probability thatboth the marbles are white? Write your answer as a decimal accurateto three decimal places.
8. Suppose that 7.3 % of the items produced by a factory aredefective. If 5 items are chosen at random, what is the probabilitythat none of the items are defective? Write your answer as adecimal accurate to three decimal places.
9. Suppose that 3.6 % of the items produced by a second factoryare defective. If 5 items are chosen at random from the secondfactory, what is the probability that exactly one of the items isdefective? Write your answer as a decimal accurate to three decimalplaces.
10. Suppose that 2.9 % of the items produced by a third factoryare defective. If 5 items are chosen at random from the thirdfactory, what is the probability that exactly two of the items aredefective? Write your answer as a decimal accurate to three decimalplaces.
