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A test for diabetes is a measurement of a person's blood sugar level following an overnight fast. A result in the range 70-110 mg/dl is considered normal. For a healthy person, blood sugar level is normally distributed with mean 90 mg/dl and standard deviation 20 mg/dl. For someone with diabetes, blood sugar level is normally distributed with mean 160 mg/dl and standard deviation 40 mg/dl.
i. What is the probability that a healthy person will have blood sugar level above 105 mg/dl?
ii. What is the probability that someone with diabetes will test "normal"?
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