Q1) Discrete joint variables X and Y with probability density f(x,y) (pdf) are given in this table. Find: 1) The Covariance Cov(X,Y)? (Cov(X,Y) = μxy-μxH) Cov(X,Y) 2) The correlation (px) between X and Y where Pxy = PXPY Y f(x,y) 1 2 3 fx(x) 1 1/4 1/4 X 2 0 1/4 0 1/4 fy(y)
Q1) Discrete joint variables X and Y with probability density f(x,y) (pdf) are given in this table. Find: 1) The Covariance Cov(X,Y)? (Cov(X,Y) = μxy-μxH) Cov(X,Y) 2) The correlation (px) between X and Y where Pxy = PXPY Y f(x,y) 1 2 3 fx(x) 1 1/4 1/4 X 2 0 1/4 0 1/4 fy(y)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Transcribed Image Text:Q1) Discrete joint variables X and Y with probability density f(x,y) (pdf) are given in this table.
Find:
1) The Covariance Cov(X,Y)? (Cov(X,Y) = MxY-MxMY)
2) The correlation (pxy) between X and Y where Pxy
=
Cov(X,Y)
PXPY
Y
3
fx(x)
f(x,y)
1
2
1
1/4
1/4
0
X
2
0
1/4
1/4
fy(y)
Note that
2
n=2
n=3
Px² = Σn²±²x² f(x, y) - μ and py² = Σ3y² f(x, y) – µ
Zk=0
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