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Given a decision tree node containing records, half of which belong to Class and the other half which belong to Class , show the impurity

Given a decision tree node containing records, half of which belong to Class and the other half which belong to Class , show the impurity of the node under the Entropy, Gini, and Misclassification Error measures. What would be the value of these measures be for the child nodes, assuming an optimal split is performed? (Hint: Assume 0log 0 base 2 = 0).

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