Consider the training examples shown above in Table 3.5 for a binary classification problem. (a) Compute the Gini index for the overall collection of training examples. (b) Compute the Gini index for the Customer ID attribute. (c) Compute the Gini index for the Gender attribute.

Table 3.5. Data set for Exercise 2 Customer ID Gender Car Type Shirt Size Class amily Sports Sports Sports SportsExtra LargeC Sports Extra LargeC Sports Sports Sports Luxury Family Family Extra Large Cl Family LuxuryExtra LargeC1 Luxury Luxury Luxury Luxury Luxury Luxury Medium Medium Large CO CO Small Small Medium Large Large CO CO C1 10 12 13 14 Medium C1 16 17 18 19 20 Small Small Medium Medium Medium Large C1 C1 C1 C1 C1 C1