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 = 7800 and estimated standard deviation o = 2500. 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 5 = 7800 and ox = 2500. O The probability distribution of x is approximately normal with 5 = 7800 and o = 1767.77. O The probability distribution of x is not normal. The probability distribution of x is approximately normal with 5 = 7800 and oz = 1250.00. 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.)

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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 µ = 7800 and estimated standard deviation o = 2500. 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 5 = 7800 and ox = 2500.
O The probability distribution of x is approximately normal with 5 = 7800 and o = 1767.77.
O The probability distribution of x is not normal.
The probability distribution of x is approximately normal with 5 = 7800 and oz = 1250.00.
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.)
Transcribed Image Text: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 = 7800 and estimated standard deviation o = 2500. 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 5 = 7800 and ox = 2500. O The probability distribution of x is approximately normal with 5 = 7800 and o = 1767.77. O The probability distribution of x is not normal. The probability distribution of x is approximately normal with 5 = 7800 and oz = 1250.00. 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.)
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