The lower a person’s bone mineral density (BMD), the greater the person’s risk of a bone fracture will be. BMD levels of 75-year-old Caucasian women’s hips are approximately normally distributed with mean 740 mg/cm2 and standard deviation 129 mg/cm2.
a. Find the probability of randomly selecting a 75-year-old Caucasian woman whose hip has a BMD at least 908 mg/cm2.
b. Find the probability of randomly selecting a 75-year-old Caucasian woman whose hip has a BMD between 572 and 636 mg/cm2.
c. If the z-score of an adult’s hip BMD reading is less than 57. -1.5, then this suggests that bone loss has happened for reasons other than aging, such as thyroid abnormalities, malabsorption, alcoholism, smoking, and the use of certain medications. Find the probability of randomly selecting a Caucasian woman who has experienced bone loss for reasons other than aging.