1.) (1 point) The heights of women aged 20 to 29 follow approximately the N(64, 2.66) distribution. Men the same age have heights distributed as N(69.3, 2.93). What percent of young men are taller than the mean height of young women?

2.) (1 point) Osteoporosis is a condition in which the bones become brittle due to loss of minerals. Bone mineral density (BMD) is measured to diagnose osteoporosis. BMD is often reported in standard Normal form. The standardization is based on a population of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD 2.5 standard deviations below the mean for young adults. BMD measurements in a population of people similar in age and sex roughly follow a Normal distribution.

(a) What percent of healthy young adults have osteoporosis by the WHO criterion?

(b) Mean BMD for women ages 70-79 is about 2 standard deviations below the mean for young adults. Suppose that the standard deviation for these older women is the same as for young adults. What percent of this older population have osteoporosis (that is, BMD at least 2.5 standard deviations below that of young adults)?