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Let x be a...

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 3500? (Round your answer to four decimal places.)

.0455

Incorrect: Your answer is incorrect.(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 = 6150 and σx = 1150.00.

The probability distribution of x is approximately normal with μx = 6150 and σx = 1626.35.

The probability distribution of x is not normal.

The probability distribution of x is approximately normal with μx = 6150 and σx = 2300.

Changed: Your submitted answer was incorrect. Your current answer has not been submitted.What is the probability of x < 3500? (Round your answer to four decimal places.)

.0082

Incorrect: Your answer is incorrect.(c) Repeat part (b) for n = 3 tests taken a week apart. (Round your answer to four decimal places.)

.0016

Incorrect: Your answer is incorrect.(d) Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased?

The probabilities decreased as n increased.

The probabilities stayed the same as n increased.

The probabilities increased as n increased.

Correct: Your answer is correct.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 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.

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 does not have leukopenia.

Correct: Your answer is correct.

**Tutor's Assistant:** The Tutor can help you get an A on your homework or ace your next test. Is there anything else the Tutor should be aware of?

I do not know how to find the z score for subsequent trials.

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