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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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Suppose the probability of the worst-case scenario increases Compute the expected value of perfect information
The probability is 1 in 4,000,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an average U.S. driver takes 50,000 trips. (a) What is the probability of a fatal accident over a lifetime? Describe your re..
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Use this information to construct a probability table, and then calculate each of the following probabilities:
Does the normal distribution yield a good approximation of the actual results?
Determine a simple algebraic relationship between the negative binomial probability P(x) and the binomial probability for the probability of n successes in x trials.
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