Q1: Given the joint 'discrete' probability density function (pdf) of X and Y in the following table: Y X 0 1 2 0 0.1 0.11 0.05 1 0.17 0.23 0.08 2 0.06 0.14 0.06 a. Compute Cov(X,Y) b. Compute the correlation (pxy) between X and Y. C. From your answer in a and b above, are X and Y independent? Note, show the steps of your answers.

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ISBN:9780133923605
Author:Robert L. Boylestad
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Q1: Given the joint 'discrete' probability density function (pdf) of X and Y in the following table:
Y
X
0
1
2
0
0.1
0.11
0.05
1
0.17
0.23
0.08
2
0.06
0.14
0.06
a. Compute Cov(X,Y)
b. Compute the correlation (pxy) between X and Y.
C.
From your answer in a and b above, are X and Y independent?
Note, show the steps of your answers.
Transcribed Image Text:Q1: Given the joint 'discrete' probability density function (pdf) of X and Y in the following table: Y X 0 1 2 0 0.1 0.11 0.05 1 0.17 0.23 0.08 2 0.06 0.14 0.06 a. Compute Cov(X,Y) b. Compute the correlation (pxy) between X and Y. C. From your answer in a and b above, are X and Y independent? Note, show the steps of your answers.
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