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?