Question: You have a random variable X. The variable Y = X 2 . You know that E[X] = 0 and E[X 3 ] = 0.

You have a random variable X. The variable Y = X2. You know that E[X] = 0 and E[X3] = 0.

(a)What is the covariance of Y and X?

(b)Are Y and X independent?

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