Question: The random variable X has probability distribution Pr(X = 0) = 0.4 and Pr(X = 1) = 0.6. The random variable Y has probability distribution

The random variable X has probability distribution Pr(X = 0) = 0.4 and Pr(X = 1) = 0.6. The random variable Y has probability distribution Pr(Y = 1) = 0.2 and Pr(Y = 3) = 0.8. Find the distribution of X conditional on Y = 3.
Suppose the above random variables are independent. Find the joint distribution and the requested conditional distribution from the given marginal distributions.

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