7. According to a National Health Survey, American men's heights are normally distributed with a mean given by = 69.7 inches and a standard deviation given by = 2.8 inches. a). If a man is randomly selected, find the probability that his height is more 72 inches. (5 pints) b). If a man is randomly selected, find the probability that his height is between 68 and 72 inches. (10 points) 8. Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL (10 points) 9. One out of every three Americans believes that the U.S government should take "primary responsibility" for eliminating poverty in the United States. If 30 Americans are selected, find the probability that a) Exactly eight (8) will believe that the U.S government should take "primary responsibility" for eliminating poverty. (10 points) b) At least eight (8) will believe that the U.S government should take "primary responsibility" for eliminating poverty. (5 points, calculation is not necessary) c) Use Normal Distribution for part b). (10 points)