Question

Let *x* be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
*x* has a distribution that is approximately normal, with
mean *μ* = 6700 and estimated standard deviation *σ*
= 2600. A test result of *x* < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.

(a) What is the probability that, on a single test, *x*
is less than 3500? (Round your answer to four decimal
places.)

(b) Suppose a doctor uses the average *x* for two tests
taken about a week apart. What can we say about the probability
distribution of *x*?

The probability distribution of *x* is approximately
normal with *μ*_{x} = 6700 and
*σ*_{x} = 1838.48. The probability
distribution of *x* is approximately normal with
*μ*_{x} = 6700 and
*σ*_{x} = 1300.00.
The probability distribution of *x* is approximately normal
with *μ*_{x} = 6700 and
*σ*_{x} = 2600. The probability
distribution of *x* is not normal.

What is the probability of *x* < 3500? (Round your answer
to four decimal places.)

(c) Repeat part (b) for *n* = 3 tests taken a week apart.
(Round your answer to four decimal places.)

(d) Compare your answers to parts (a), (b), and (c). How did the
probabilities change as *n* increased?

The probabilities increased as *n* increased.

The probabilities stayed the same as *n* increased.

The probabilities decreased as
*n* increased.

If a person had *x* < 3500 based on three tests, what
conclusion would you draw as a doctor or a nurse?

If a person had *x* < 3500 based on three tests, what
conclusion would you draw as a doctor or a nurse?

It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia.

It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia.

It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia.

It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia.

Answer #1

Let x be a random variable that represents white blood cell
count per cubic milliliter of whole blood. Assume that x has a
distribution that is approximately normal, with mean μ = 6700 and
estimated standard deviation σ = 2700. A test result of x < 3500
is an indication of leukopenia. This indicates bone marrow
depression that may be the result of a viral infection. (a) What is
the probability that, on a single test, x is less than...

Let x be a random variable that represents white blood cell
count per cubic milliliter of whole blood. Assume that x has a
distribution that is approximately normal, with mean μ = 6400 and
estimated standard deviation σ = 2050. A test result of x < 3500
is an indication of leukopenia. This indicates bone marrow
depression that may be the result of a viral infection. (a) What is
the probability that, on a single test, x is less than...

Let x be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
x has a distribution that is approximately normal, with
mean μ = 6900 and estimated standard deviation σ
= 2100. A test result of x < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.
(a) What is the probability that, on a single test, x
is less than...

Let x be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
x has a distribution that is approximately normal, with
mean μ = 6150 and estimated standard deviation σ
= 2300. A test result of x < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.
(a) What is the probability that, on a single test, x
is less than...

Let x be a random variable that represents white blood cell
count per cubic milliliter of whole blood. Assume that x has a
distribution that is approximately normal, with mean μ = 6600 and
estimated standard deviation σ = 2450. A test result of x < 3500
is an indication of leukopenia. This indicates bone marrow
depression that may be the result of a viral infection.
(a) What is the probability that, on a single test, x is less
than...

Let x be a random variable that represents white blood cell
count per cubic milliliter of whole blood. Assume that x has a
distribution that is approximately normal, with mean μ = 6900 and
estimated standard deviation σ = 2450. A test result of x < 3500
is an indication of leukopenia. This indicates bone marrow
depression that may be the result of a viral infection.
(a) What is the probability that, on a single test, x is less
than...

Let x be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
x has a distribution that is approximately normal, with
mean μ = 7700 and estimated standard deviation σ
= 2900. A test result of x < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.
(a) What is the probability that, on a single test, x
is less than...

Let x be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
x has a distribution that is approximately normal, with
mean μ = 8250 and estimated standard deviation σ
= 2900. A test result of x < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.
(a) What is the probability that, on a single test, x
is less than...

Let x be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
x has a distribution that is approximately normal, with
mean μ = 6950 and estimated standard deviation σ
= 2650. A test result of x < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.
(a) What is the probability that, on a single test, x
is less than...

Let x be a random variable that represents white blood
cell count per cubic milliliter of whole blood. Assume that
x has a distribution that is approximately normal, with
mean μ = 6600 and estimated standard deviation σ
= 3000. A test result of x < 3500 is an indication of
leukopenia. This indicates bone marrow depression that may be the
result of a viral infection.
(a) What is the probability that, on a single test, x
is less than...

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