Assignment Consider the Bayes network below, defined over four Boolean variables X1 X2 X3 X4 • How many parameters are needed to define P(X1,X2, X3, X4) for this Bayes Net? • Give the formula that calculates P(X1 = 1, X2 = 0, X3 = 1, X4 = 0) using only the Bayes net parameters. Use notation like P(X1 = 0|X2 = 1, X4 = 0) to refer to each Bayes net parameter you use in your formula. • Give the formula that calculates P(X1=1,X4= 0) using only the Bayes net parameters. • Give the formula that calculates P(X2 = 1|X3 = 0) using only the Bayes net parameters.

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