Suppose that the weight of a typical American male follows a normal distribution with μ = 180 lb and σ = 30 lb. Also, suppose 91.92% of all American males weigh more than I weigh.
a. What fraction of American males weigh more than 225 pounds?
b. How much do I weigh?
c. If I weighed 20 pounds more than I do, what percentile would I be in?