Problem 1 (BM). Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose osteoporosis, an elaborate apparatus measures bone mineral density (BMD). BMD is usually reported in standardized form, where the standardization is based on a popula- tion of healthy young adults. The World Health Organization (WHO) criterion for osteoporosis is a BMD that is 2.5 or more standard deviations below the mean for healthy young adults. Assume that BMD measurements for young healthy adults are normally distributed. (a) Using the standard established by the WHO, what percentage of healthy young adults have osteoporosis? (b) Osteopenia is low bone mineral density, defined by the WHO as a BMD that is between 1 and 2.5 standard deviations below the mean for healthy young adults. Using this standard, what percentage of healthy young adults have osteopenia? (c) Using the standards established by the WHO, what percentage of healthy young adults have neither osteoporosis nor osteopenia?