Answered: A common lab test during a medical exam…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A common lab test during a medical exam is a blood count. The two main aspects are counting the number of white blood cells and differentiating white blood cells into several categories. One of the categories is neutrophils. Suppose 60% of white blood cells are neutrophils in a healthy person. What is the probability of seeing 2 neutrophils in a sample of three white blood cells from a healthy person? What is the probability of seeing 2 or fewer?

Expert Solution

Step 1: Introducing the given information

$Given sample space size left parenthesis straight n right parenthesis equals 3 straight p equals 60 percent sign equals 0.60 H e r e space w e space w i l l space u s e space b i n o m i a l space d i s t r i b u t i o n space b e c a u s e space p r o b a b i l i t y space o f space s u c c e s s i s space f i x e d space o u t space o f space f i x e d space n u m b e r space o f space t r i a l s X tilde Binomial left parenthesis straight n equals 3 comma straight p equals 0.60 right parenthesis straight P left parenthesis straight X equals straight x right parenthesis equals straight C presuperscript straight n subscript straight x left parenthesis straight p right parenthesis to the power of straight x left parenthesis 1 minus straight p right parenthesis to the power of straight n minus straight x end exponent space space space space semicolon space space straight x equals 0 comma 1 comma... comma straight n$