The random variables X and Y are described by a joint PDF which is constant within the unit area quadrilateral with vertices (0, 0), (0, 1), (1, 2), and (1, 1) (a) Are X and Y independent (b) Find the marginal PDFs of X and Y (c) Find the expected value of X Y (d) Find the variance of X Y

Question: The random variables X and Y are described by a joint PDF which is constant within the unit area quadrilateral with vertices (0, 0), (0,

The random variables X and Y are described by a joint PDF which is constant within the unit area quadrilateral with vertices (0, 0), (0, 1), (1, 2), and (1, 1).

The random variables X and Y are described by a joint PDF

(a) Are X and Y independent?

(b) Find the marginal PDFs of X and Y.

(d) Find the variance of X + Y.

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