3. (Joint Distribution) Let X be a random variable that takes values -2, -l , 0, 1, 2; each with probability 1/5. Let Y I X 2. (a) Fill out the following table giving the joint frequency lnction for X and Y. Be sure to include the marginal probabilities. :2 Marginal Marginal (b)Find E(X) and E(Y). (c) Show X and Y are not independent. ((1) Show Cov(X, Y) = 0. Note: This is an example of uncorrelated but non-independent random variables. The reason this can happen is that correlation only measures the linear dependence between the two variables. In this case, X and Y are not at all linearly related