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 7400and estimated standard deviation 2750 A test result of x (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 x 7400 and x 1944 54 The probability distribution of x is approximately normal with x 7400 and x 2750 The probability distribution of x is approximately normal with x 7400 and x 1375 00 The probability distribution of x is not normal What is the probability of x (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 increased as n increased The probabilities decreased as n increased If a person had x 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 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 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

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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

Letxbe a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume thatxhas a distribution that is approximately normal, with mean=7400and estimated standard deviation=2750.A test result ofx

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

(b) Suppose a doctor uses the averagexfor two tests taken about a week apart. What can we say about the probability distribution ofx?

The probability distribution ofxis approximately normal with_x= 7400 and_x= 1944.54.

The probability distribution ofxis approximately normal with_x= 7400 and_x= 2750.

The probability distribution ofxis approximately normal with_x= 7400 and_x= 1375.00.

The probability distribution ofxis not normal.

What is the probability ofx

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

The probabilities stayed the same asnincreased.

The probabilities increased asnincreased.

The probabilities decreased asnincreased.

If a person hadx

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 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.

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.

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