The differential is a standard measurement made during a blood test. It consists of classifying white blood cells into the following five categories: (1) basophils, (2) eosinophils, (2) ile Th
The differential is a standard measurement made during a blood test. It consists of classifying white blood cells into the following five categories: (1) basophils, (2) eosinophils, (2) ile Th
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![Infectious Disease
The differential is a standard measurement made during a
blood test. It consists of classifying white blood cells into
the following five categories: (1) basophils, (2) eosinophils,
(3) monocytes, (4) lymphocytes, and (5) neutrophils. The
usual practice is to look at 100 randomly selected cells
under a microscope and to count the number of cells within
each of the five categories. Assume that a normal adult will
have the following proportions of cells in each category:
basophils, 0.5%; eosinophils, 1.5%; monocytes, 4%; lym-
phocytes, 34%; and neutrophils, 60%.
*5.25 An excess of eosinophils is sometimes consistent
with a violent allergic reaction. What is the exact probability
that a normal adult will have 5 or more eosinophils?
*5.26 An excess of lymphocytes is consistent with vari-
ous forms of viral infection, such as hepatitis. What is
the probability that a normal adult will have 40 or more
lymphocytes?
*5.27 What is the probability a normal adult will have 50 or
more lymphocytes?
*5.28 How many lymphocytes would have to appear in the
differential before you would feel the "normal" pattern was
violated?
*5.29 An excess of neutrophils is consistent with sev-
eral types of bacterial infection. Suppose an adult has x
neutrophils. How large would x have to be for the prob-
ability of a normal adult having x or more neutrophils to
be 55%?
*5.30 How large would x have to be for the probability of a
normal adult having x or more neutrophils to be <1%?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20216119-2d5d-4a8a-b4ec-81b45de89ead%2F3e5be6f5-3627-4d10-bcfd-22cdf57febbb%2F9n0bli_processed.png&w=3840&q=75)
Transcribed Image Text:Infectious Disease
The differential is a standard measurement made during a
blood test. It consists of classifying white blood cells into
the following five categories: (1) basophils, (2) eosinophils,
(3) monocytes, (4) lymphocytes, and (5) neutrophils. The
usual practice is to look at 100 randomly selected cells
under a microscope and to count the number of cells within
each of the five categories. Assume that a normal adult will
have the following proportions of cells in each category:
basophils, 0.5%; eosinophils, 1.5%; monocytes, 4%; lym-
phocytes, 34%; and neutrophils, 60%.
*5.25 An excess of eosinophils is sometimes consistent
with a violent allergic reaction. What is the exact probability
that a normal adult will have 5 or more eosinophils?
*5.26 An excess of lymphocytes is consistent with vari-
ous forms of viral infection, such as hepatitis. What is
the probability that a normal adult will have 40 or more
lymphocytes?
*5.27 What is the probability a normal adult will have 50 or
more lymphocytes?
*5.28 How many lymphocytes would have to appear in the
differential before you would feel the "normal" pattern was
violated?
*5.29 An excess of neutrophils is consistent with sev-
eral types of bacterial infection. Suppose an adult has x
neutrophils. How large would x have to be for the prob-
ability of a normal adult having x or more neutrophils to
be 55%?
*5.30 How large would x have to be for the probability of a
normal adult having x or more neutrophils to be <1%?
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