(Answered) Question 1 a persons blood glucose level and diabetes are

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Question 1: 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. After a 12 hour fast, the random variable x will have a distribution that is approx. normal with a mean u=85 and a standard deviation o=25. Note: after 5o years of age both the mean and standard deviation tend to increase. What is the probability that for an adult (under 50 years old) after a 12 hour fast.

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)?

Question 2: Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approx. normally distributed with a mean of 5.1 mm and a stand deviation of 0.9 mm. For a randomly found shard, what is the probability that the thickness is:

a. less than 3.0 mm?

b. more than 7.0 mm?

c. between 3.0 mm and 7.0 mm?

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