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Let X and Y be random variables with joint distribution showing in the following figure. P(x, y) 1 1 0 2 0.10 3 0.40

Let X and Y be random variables with joint distribution showing in the following figure. P(x, y) 1 1 0 2 0.10 3 0.40 Y I 3 4 0.06 0.10 0.04 0.04 0 2 0.06 0.10 0.10 0 (a) Find the marginal distribution of X. (b) Find the marginal distribution of Y. (c) Are X and Y independent? State your reasons.

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