-4 points 11 6.3 025 A person\'s blood glucose level and diabetes are closely re

Question

-4 points 11 6.3 025 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 th mean ?-87 and standard deviation a 28 A ote Amer SO yes of be the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.) eciiter(1/10ofa iter, of blood s AskYou,Teacher (a) x is more than 60 (b) x is less than 110 (c) x is between 60 and 110 (d) x is greater than 140 (borderline diabetes starts at 140) Submit Answer Save Progress ee View Previous Question Question 8 of 10 View Next Question >>

Explanation / Answer

a) P(X > 60) = (P(z > (60 - 87)/28) = P(z > -0.96) = 0.8325

b) P(X < 110) = P(z < (110 - 87)/28) = P(z < 0.82) = 0.7943

c) P(60 < X < 110) = 0.6268

d) P(X > 140) = 0.0292

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