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A person’s blood glucose level and diabetes are closely related.

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A person’s blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 21.

x is more than 60

x is less than 110

x is between 60 and 110

x is greater than 125 (borderline diabetes starts at 125)

Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy and storage. Let x be a random variable that represents the number of milligrams of porphyrin per deciliter of blood. In healthy circles, x is approximately normally distributed with mean μ = 43 and standard deviation σ = 12. Find probabilities.

x is less than 60

x is greater than 16

x is between 16 and 60

x is more than 60 (This may indicate an infection, anemia, or another type of illness.)

 
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