Question: 5. Let X be a random variable with the following distribution -2 -1 1 2 P(X = x) 4 4 Let Y = X2. (a)

5. Let X be a random variable with the following distribution
-2 -1 1 2 P(X = x) 4 4 Let Y =

5. Let X be a random variable with the following distribution -2 -1 1 2 P(X = x) 4 4 Let Y = X2. (a) Find the distribution g(y) of Y. (b) Find the joint distribution f(x, y) of X and Y. (c) Find the marginal distributions of X and Y. (d) Determine whether or not X and Y are independent

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