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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

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section: Chapter Questions
Problem 10CT
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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%?
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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