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 = 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 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 μx = 6600 and σx = 1225.00.

The probability distribution of x is approximately normal with μx = 6600 and σx = 2450.

The probability distribution of x is not normal.

The probability distribution of x is approximately normal with μx = 6600 and σx = 1732.41.

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 stayed the same as n increased.

The probabilities decreased as n increased.

The probabilities increased as n increased.

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

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.

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 a common event for a person to have two or three tests below 3,500 purely by chance. The person probably has 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 = 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 = 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 = 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 = 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 ? = 6600 and estimated standard deviation ?
= 2350. 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
= 2950. 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 ? = 7950 and estimated standard deviation ?
= 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...

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 = 6000 and estimated standard deviation σ
= 2150. 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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