The random variable X has probability distribution Pr(X 0) 0 8 and Pr(X 1) 0 2 The random variable Y has probability distribution Pr(Y 1) 0 3, Pr(Y 2) 0 5, and Pr(Y 3) 0 2 Find the distribution of Y conditional on X 0 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) = 0.8 and Pr(X = 1) = 0.2. The random variable Y has probability distribution

The random variable X has probability Pr(X = 0) = 0.8 and Pr(X = 1) = 0.2. The random variable Y has probability Pr(Y = 1) = 0.3, Pr(Y = 2) = 0.5, and Pr(Y = 3) = 0.2. Find the of Y conditional on X = 0.
Suppose the above random variables are independent. Find the joint and the requested conditional from the given marginal distributions.

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