major component of air pollution in many areas. It is of interest to study the Particles are a sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that f(x) = where c is a constant. Find the value of c so that f(x) is a probability density function. Find the mean particle diameter. a. b. Find the cumulative distribution function of the particle diameter. Find the median particle diameter. The term PM10 refers to particles 10 um or less in diameter. What proportion of the C. d. e. contaminating particles are PM10? f. The term PM,5 refers to particles 2.5 um or less in diameter. What proportion of the contaminating particles are PM25? What proportion of the PM10 Pparticles are PM25? g.
major component of air pollution in many areas. It is of interest to study the Particles are a sizes of contaminating particles. Let X represent the diameter, in micrometers, of a randomly chosen particle. Assume that in a certain area, the probability density function of X is inversely proportional to the volume of the particle; that is, assume that f(x) = where c is a constant. Find the value of c so that f(x) is a probability density function. Find the mean particle diameter. a. b. Find the cumulative distribution function of the particle diameter. Find the median particle diameter. The term PM10 refers to particles 10 um or less in diameter. What proportion of the C. d. e. contaminating particles are PM10? f. The term PM,5 refers to particles 2.5 um or less in diameter. What proportion of the contaminating particles are PM25? What proportion of the PM10 Pparticles are PM25? g.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:major component of air pollution in many areas. It is of interest to study the
Particles are a

Transcribed Image Text:sizes of contaminating particles. Let X represent the diameter, in micrometers, of a
randomly chosen particle. Assume that in a certain area, the probability density function of
X is inversely proportional to the volume of the particle; that is, assume that
f(x) =
where c is a constant.
Find the value of c so that f(x) is a probability density function.
Find the mean particle diameter.
a.
b.
Find the cumulative distribution function of the particle diameter.
Find the median particle diameter.
The term PM10 refers to particles 10 um or less in diameter. What proportion of the
C.
d.
e.
contaminating particles are PM10?
f.
The term PM,5 refers to particles 2.5 um or less in diameter. What proportion of the
contaminating particles are PM25?
What proportion of the PM10 Pparticles are PM25?
g.
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