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 = 7650 estimated standard deviation a = 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 USE SALT (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? OThe probability distribution of x is approximately normal with G = 7650 and og = 2450. O The probability distribution of x is not normal. The probability distribution of x is approximately normal with G = 7650 and o = 1732.41. The probability distribution of x is approximately normal with G = 7650 and o, = 1225.00. 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.) snincreased?

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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 u = 7650 and
CO ..... ... ...
B R E EER TBES E EES E
estimated standard deviation o = 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.
L USE SALT
(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 uT = 7650 and oy = 2450.
The probability distribution of x is not normal.
The probability distribution of x is approximately normal with u, = 7650 and o, = 1732.41.
The probability distribution of x is approximately normal with u = 7650 and o, = 1225.00.
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 increased 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?
It would be an extremely rare event for a person to have two or three tests below 3.500 purely by chance The person probahly does not have leukopenia
Transcribed Image Text:WebAssign +→ X C O 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 u = 7650 and CO ..... ... ... B R E EER TBES E EES E estimated standard deviation o = 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. L USE SALT (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 uT = 7650 and oy = 2450. The probability distribution of x is not normal. The probability distribution of x is approximately normal with u, = 7650 and o, = 1732.41. The probability distribution of x is approximately normal with u = 7650 and o, = 1225.00. 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 increased 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? It would be an extremely rare event for a person to have two or three tests below 3.500 purely by chance The person probahly does not have leukopenia
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