Consider the training examples shown in Table 4.8 for a binary classification

problem.

(a) What is the entropy of this collection of training examples with respect

to the positive class

(b) What are the information gains of o1 and o2 relative to these training

examples?

For a3, which is a continuous attribute, compute the information gain for

every possible split.

NOTE: Use python to solve the problems that require any type of calculation.

Table 4.8. Data set for Exercise 3. Instancea1 a a3 Target Class T T 1.0 T T6.0 T F 5.0 F F 4.0 F T 7.0 F T 3.0 F F8.0 T F7.0 F T5.0