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Let X and Y be random variables, P(X = −1) = P(X = 0) = P(X...

Let X and Y be random variables, P(X = −1) = P(X = 0) = P(X = 1) = 1/3 and Y take the value 1 if X = 0 and 0 otherwise. Find the covariance and check if random variables are independent.

How to check if they are independent since it does not mean that if the covariance is zero then the variables must be independent.

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