The random variable X has probability distribution Pr(X 0) 0 3, Pr(X l) 0 4, and Pr(X 2) 0 3 The random variable Y has probability distribution Pr(Y 1) 0 6, Pr(Y 2) 0 1, and Pr(Y 3) 0 3 Find the distribution of Y conditional on X 2 Suppose the above random variables are independent Find the joint distribution and the requested conditional distribution from the given marginal distributions

Question: The random variable X has probability distribution Pr(X = 0) = 0.3, Pr(X = l) = 0.4, and Pr(X = 2) = 0.3. The random

The random variable X has probability Pr(X = 0) = 0.3, Pr(X = l) = 0.4, and Pr(X = 2) = 0.3. The random variable Y has probability Pr(Y = 1) = 0.6, Pr(Y = 2) = 0.1, and Pr(Y = 3) = 0.3. Find the of Y conditional on X = 2.
Suppose the above random variables are independent. Find the joint and the requested conditional from the given marginal distributions.

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