Decision Learning Tree Problem

Problem :

     Mr. Apple is a CSE student who listens to music almost everywhere he goes. He often has homework due for his modules and many of them involve programming. We have sampled his choice of music genre over several points in time.

    Using information gain, compute the decision tree for the following observations of Apple. Show all work. The following mathematical formulas may be useful for your computation.

TimeOfDay HomeworkDue Programming Music Type? Morning Yes No Classical Morning No No Pop Morning No Yes Classical Morning Yes No Classical Afternoon Yes Yes Pop Afternoon No No Pop Evening No Yes Pop Evening Yes Yes Classical