Question
In: Statistics and Probability
A person’s blood glucose level and diabetes are closely related. Let X be a random variable...
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 with mean µ = 90 and standard deviation σ = 20. (Round your answers to three decimal places.)
(A) (3 points) What is the probability that X is greater than 90? (B) (3 points) What is the probability that X is between 70 and 110? (C) (3 points) What is the probability that X is between 55 and 100? (D) (3 points) What is the probability that X is less than 50 or greater than 90? (E) (3 points) What is the probability that X is less than 85?
Solutions
orchestra answered 1 year agoRelated Solutions
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 81 and standard deviation σ =
25. Note: After 50 years of age, both the mean and standard
deviation tend to increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 90 and standard deviation σ =
27. Note: After 50 years of age, both the mean and standard
deviation tend to increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 89 and standard deviation σ =
21. Note: After 50 years of age, both the mean and standard
deviation tend to increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 83
and standard deviation σ = 22. Note: After 50
years of age, both the mean and standard deviation tend to
increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 83
and standard deviation σ = 22. Note: After 50
years of age, both the mean and standard deviation tend to
increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 86 and standard deviation σ =
29.
Note: After 50 years of age, both the mean and standard
deviation tend to increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 81
and standard deviation σ = 21. Note: After 50
years of age, both the mean and standard deviation tend to
increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 82
and standard deviation σ = 27. Note: After 50
years of age, both the mean and standard deviation tend to
increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 83 and standard deviation σ =
24. Note: After 50 years of age, both the mean and standard
deviation tend to increase. For an adult (under 50) after a...
A person's blood glucose level and diabetes are closely related. Let x be a random variable...
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 with mean μ = 82 and standard deviation σ =
21. Note: After 50 years of age, both the mean and standard
deviation tend to increase. For an adult (under 50) after a...
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