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A bone mineral density test is used to identify a bone disease. The result of a bone density test is commonly measured as a z score, and the population of z scores is randomly distributed with a mean of 0 and a standard deviation of 1.
a. For a randomly selected subject, find the probability of a bone density test score less than 1.54.
b. For a randomly selected subject, find the probability of a bone density test score greater than -1.54
c. For a randomly selected subject, find the probability of a bone density test score between -1.33 and 2.33
d. Find Q1, the bone density test score separating the bottom 25% from the top 75%.
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