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Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To...

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. 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? (Round your answer to two decimal places.)

(b) Women age 60 to 69 are of course not young adults. The mean BMD in this age is about −1.2 on the standard scale for young adults. Suppose that the standard deviation is the same as for young adults. What percent of this older population has osteoporosis? (Round your answer to two decimal places.)

math   Statistics-And-Probability   
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