1. Assume the weights of women between 16 and 30 years of age are normally distributed with a mean of 120 pounds and a standard deviation of 18 pounds. If 100 women are selected at random from this population, how many would you expect to have the following weights (round off to the nearest integer):
a. Between 90 and 145 pounds
b. Less than 85 pounds
c. More than 150 pounds
d. Between 84 and 156 pounds
2. Suppose that the population of 25-year-old American males has an average remaining life expectancy of 50 years with a standard deviation of 5 years and that life expectancy is normally distributed.
a. What proportion of these 25-year-old males will live past 75?
b. What proportion of these 25-year-old males will live past 85?
c. What proportion of these 25-year-old males will live past 90?
d. What proportion will not live past 65?