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# Suppose that we are building a decision tree to predict the variable Y. Consider two variables src="/qa/attachment/9129290/" alt="2.png" /> ATTACHMENT PREVIEW Download attachment 2.png 2. Suppose that we are building a decision tree to predict the variable Y. Consider two variables X and Z that can potentially be used to predict Y. Suppose we have the following data: Table 1: Data points for X and Y Y:0 Y:1 X = 0 1000 3000 X : 1 3000 1000 Table 2: Data points for Z and Y Y:0 Y:1 Z = 0 2000 2000 Z = 1 2000 2000 (a) Find H(X), H(Y), and H(Z) using the above tables. (b) Find I(Y;X) and I(Y; Z) (0) Which variable (X or Z) will you use for splitting in your tree?

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