Question: Consider the experiment roll two dice. Consider random variables X: The sum of the two dices and Y : The absolute value of the difference

Consider the experiment "roll two dice". Consider random variables X: "The sum of the two dices" and Y : "The absolute value of the difference between the two dice". The joint probability mass function of (X, Y) is given on the page 133 of the slides. The correlation of X and Y equals zero, cor(X, Y) = 0. Are X and Y independent? Justify

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