4.72 Consider the joint probability distribution: 1 Y 0.25 0.25 1 0.25 0.25 a. Compute the marginal probability distributions for X and Y. b. Compute the covariance and correlation for X and Y. C. Compute the mean and variance for the linear function W =X + Y. %D

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4.72 Consider the joint probability distribution:
1
Y
0.25
0.25
1
0.25
0.25
a. Compute the marginal probability distributions
for X and Y.
b. Compute the covariance and correlation for X and Y.
c. Compute the mean and variance for the linear
function W =X + Y.
%3D
Transcribed Image Text:4.72 Consider the joint probability distribution: 1 Y 0.25 0.25 1 0.25 0.25 a. Compute the marginal probability distributions for X and Y. b. Compute the covariance and correlation for X and Y. c. Compute the mean and variance for the linear function W =X + Y. %3D
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