The random variable X has a range of {0, 1, 2}, and the random variable Y has a range of {1, 2}. The joint distribution of X and Y is given by Table 7.14. Table 7. 14 Joint Probability Table for Exercise 3 Y 1 2 0.10 0.30 1 0.05 0.25 2 0.13 0.17 a. Find the marginal distributions of X and of Y b. Find the conditional distribution of X given that Y = 2. c. Compute E(X) and E(Y). d. Compute E(XY).

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