Consider the following probabilities:
P(X=2) = 0.3
P(X=4) = 0.7
P(Y=10 | X=2) = 0.9
P(Y=20 | X=2) = 0.1
P(Y=10 | X=4) = 0.25
P(Y=20 | X=4) = 0.75
Calculate the covariance and correlation between X and Y.
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