Q2: Assume that white blood cell (WBC) count per cubic millimeter of whole blood is approximately Normal with mean 7500 and standard deviation 1750. A test result of WBC count less than 3500 per cubic millimeter 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 WBC count less than 3500 per cubic millimeter? (b) Suppose that a doctor uses the average for two tests taken about a week apart. What can we say about the probability distribution of the average WBC? What is the prob- ability of the average WBC is less than 3500 per cubic millimeter?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Q2: Assume that white blood cell (WBC) count per cubic millimeter of whole blood is
approximately Normal with mean 7500 and standard deviation 1750. A test result of WBC
count less than 3500 per cubic millimeter 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 WBC count less than 3500 per cubic
millimeter?
(b) Suppose that a doctor uses the average for two tests taken about a week apart. What
can we say about the probability distribution of the average WBC? What is the prob-
ability of the average WBC is less than 3500 per cubic millimeter?
Transcribed Image Text:Q2: Assume that white blood cell (WBC) count per cubic millimeter of whole blood is approximately Normal with mean 7500 and standard deviation 1750. A test result of WBC count less than 3500 per cubic millimeter 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 WBC count less than 3500 per cubic millimeter? (b) Suppose that a doctor uses the average for two tests taken about a week apart. What can we say about the probability distribution of the average WBC? What is the prob- ability of the average WBC is less than 3500 per cubic millimeter?
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