The joint probability distribution of two random variables X and Y is given in the following table X 0 1 2 3 fy(y) Y 2 1

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The Joint Probability Distribution Of Two Random Variables X And Y Is Given In The Following Table X 0 1 2 3 Fy Y Y 2 1 1 (30 KiB) Viewed 24 times

The joint probability distribution of two random variables X and Y is given in the following table X 0 1 2 3 fy(y) Y 2 1/12 1/12 1/12 1/12 1/12 1/6 1/12 3 0 4 1/12 1/12 0 1/6 fx(x) a) Find the marginal density of X and the marginal density of Y. (add them to the above table) b) Are X and Y independent? c) Compute the P{Y > 1|X > 2}. d) Compute the expected value of X. e) Compute the probability that X is greater or equal to Y+1. f) Compute the conditional probability distribution of X given Y = 3.