Assume the following data displays the joint probability for random variables X and Y: X 20 30 Y 0 1 10 0.1 0.2 0.05 0.2 0.05 0.1 0.2 0.0 0.1 1. Solve for the correlation of X and Y. 2. Solve for the correlation of X and Y conditional on Y being greater than or equal to zero. 3. Are X and Y independent? Are X and Y conditional on Y being greater than or equal to zero independent.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume the following data displays the joint probability for random variables X and Y:
X
10 20 30
20
0.1 0.2 0.05
0.05 0.1 0.2
0.2 0.0 0.1
-1
Y O
1
1. Solve for the correlation of X and Y.
2. Solve for the correlation of X and Y conditional on Y being greater than or equal to zero.
3. Are X and Y independent? Are X and Y conditional on Y being greater than or equal to zero,
independent.
Transcribed Image Text:Assume the following data displays the joint probability for random variables X and Y: X 10 20 30 20 0.1 0.2 0.05 0.05 0.1 0.2 0.2 0.0 0.1 -1 Y O 1 1. Solve for the correlation of X and Y. 2. Solve for the correlation of X and Y conditional on Y being greater than or equal to zero. 3. Are X and Y independent? Are X and Y conditional on Y being greater than or equal to zero, independent.
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