Question

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 = 80 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 12-hour fast, find the following probabilities.

(Round your answers to four decimal places.)

(a) x is more than 60

(b) x is less than 110

(c) x is between 60 and 110

(d) x is greater than 125 (borderline diabetes starts at 125)

Answer #1

Given :

Mean = = 80

Standard deviation = = 27

Let X be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood.

Which is the required probability.

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 ? = 82
and standard deviation ? = 20. 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 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 = 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 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 = 23. 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 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 = 26. 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 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 =
23. 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 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 =
26. 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 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 =
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 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 = 84 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 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 = 80
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 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 = 80 and standard deviation σ =
26. 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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