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.

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