In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let Y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: y 2 х 0.05 0.10 0.11 0.17 0.23 0.08 0.06 0.14 0.06 Find the marginal probability mass function px(x). a. Find the marginal probability mass function py(y). Find µx b. C. Find µy. d. Find Ox. e. Find Oy. f. Find Cov(X, Y). g. Find h. Px,Y Are X and Y independent? Explain. i.
In a certain community, levels of air pollution may exceed federal standards for ozone or for particulate matter on some days. For a particular summer season, let X be the number of days on which the ozone standard is exceeded and let Y be the number of days on which the particulate matter standard is exceeded. Assume that the joint probability mass function of X and Y is given in the following table: y 2 х 0.05 0.10 0.11 0.17 0.23 0.08 0.06 0.14 0.06 Find the marginal probability mass function px(x). a. Find the marginal probability mass function py(y). Find µx b. C. Find µy. d. Find Ox. e. Find Oy. f. Find Cov(X, Y). g. Find h. Px,Y Are X and Y independent? Explain. i.
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
![In a certain community, levels of air pollution may exceed federal standards for ozone or for
particulate matter on some days. For a particular summer season, let X be the number of
days on which the ozone standard is exceeded and let Y be the number of days on which the
particulate matter standard is exceeded. Assume that the joint probability mass function of X
and Y is given in the following table:
y
2
х
0.05
0.10
0.11
0.17
0.23
0.08
0.06
0.14
0.06](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F434f6f1b-09e7-40c6-bb19-d52a25a9c496%2Fa3b3fe6d-1256-4378-bd49-c7a043e33463%2Fcq89jlr.png&w=3840&q=75)
Transcribed Image Text:In a certain community, levels of air pollution may exceed federal standards for ozone or for
particulate matter on some days. For a particular summer season, let X be the number of
days on which the ozone standard is exceeded and let Y be the number of days on which the
particulate matter standard is exceeded. Assume that the joint probability mass function of X
and Y is given in the following table:
y
2
х
0.05
0.10
0.11
0.17
0.23
0.08
0.06
0.14
0.06
![Find the marginal probability mass function px(x).
a.
Find the marginal probability mass function py(y).
Find µx
b.
C.
Find µy.
d.
Find Ox.
e.
Find Oy.
f.
Find Cov(X, Y).
g.
Find
h.
Px,Y
Are X and Y independent? Explain.
i.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F434f6f1b-09e7-40c6-bb19-d52a25a9c496%2Fa3b3fe6d-1256-4378-bd49-c7a043e33463%2Fd2j9qoq.png&w=3840&q=75)
Transcribed Image Text:Find the marginal probability mass function px(x).
a.
Find the marginal probability mass function py(y).
Find µx
b.
C.
Find µy.
d.
Find Ox.
e.
Find Oy.
f.
Find Cov(X, Y).
g.
Find
h.
Px,Y
Are X and Y independent? Explain.
i.
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