Exercise 3.1.b

This is the truth table:

3_1_b_TruthTable

This is a summary obtained from the truth table, the entropy is for the whole set:3_1_b_TruthTableSummary

From the truth table, we calculate the Entropy and Gain of every attribute:

3_1_b_Calculations

ID3 uses the Information Gain to decide what node to attribute to use as the next node in the tree, in this case we select A as the root node since it has the highest Information Gain.

This is the decision tree (solution):
3_1_b_DecisionTree

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