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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Medical: White Blood Cells 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 = 7500and estimated standarddeviation σ = 1750. A test result ofx < 3500is an indication of leukopenia. This indicates bone marrow depressionthat may be the result of a viral infection.
(a) What is the probability that, on a single test, x is less than 3500?
(b) Suppose a doctor uses the averageÂ
for two tests taken about a week apart.
What can we say about the probability distribution ofÂ
? What is the probability of x < 3500?
(c) Repeat part (b) for n = 3tests taken a week apart.
(d) Interpretation Compare your answers to parts (a), (b), and (c). How did the probabilities change as n increased? If a person had x < 3500 based on three tests, what conclusion would you draw as a doctor or a nurse?
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