Problem 4. Consider a dataset with three columns of binary attributes A1, A, and a binary label attribute Y. There are eight types of data point in total, and their corresponding proportions in the dataset are captured in the column P. 0 type A1 A2 Y 1 0 0 0 2 0 0 1 3 0 1 0 4 0 1 5 1 0 0 6 1 0 1 7 1 1 0 8 1 1 1 OOOO P 8% 29% 2% 18% 16% 2% 1% 24% (a) What is the GINI index of the dataset? (b) What is the GINI index of the split on A ? (C) What is the GINI index of the split on Az? (d) Construct a decision tree of exactly five nodes for the dataset using the Hunt's algorithm. (e) What is the accuracy of the decision tree built in (a)