Question: A random variable Y can only take values in {-3, 0, 3}. The expected value of Y is 0 and its variance is 4. Find

A random variable Y can only take values in {-3, 0, 3}. The expected value of Y is 0 and its variance is 4. Find the probability distribution of Y.

NOTE: please give full explanation of the answer, thanks :)

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