8. Suppose the amount of a popular sport drink in bottles leaving the lling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, nd the probability that the mean content is less than 102.1 mL (10 points) 9. One out of every three Americans believes that the US government should take \"primary responsibility\" for eliminating poverty in the United States. If 30 Americans are selected, nd the probability that a) Exactly eight (8) will believe that the US government should take \"primary responsibility\" for eliminating poverty. (10 points) b) At least eight (8) will believe that the 1.1.8 government should take \"primary responsibility\" for eliminating poverty. (5 points, calculation is not necessary) 6. Three hundred viewers were asked if they were satisfied with TV coverage of a recent disaster. (15 points) Female (F) Male (M) TOTAL Satisfied (S) 80 55 Not Satisfied (N) 120 45 TOTAL If a viewer is to be randomly selected from those surveyed. a) Find the probability that the viewer is satisfied. b) Find the probability that the viewer is a female or the viewer is not satisfied. c) Find the probability that the viewer is satisfied given that the viewer is male.\f7. According to a National Health Survey, American men's heights are normally distributed with a mean given by u = 69.7 inches and a standard deviation given by 0' = 2.8 inches. a). If a man is randomly selected, nd the probability that his height is more 72 inches. (5 pints) b). If a man is randomly selected, nd the probability that his height is between 68 and 72 inches. (10 points)