1. (Total: 6 points) Recall our discussion of Information Theory in class, and the specific problem of Entropy and Information Gain Function. Now consider the following tables of Loan Application as a Banker. You want to predict whether your loan program would be approved or not based on customers' income and liability: Loan Approve No Approve Approve Total High 20 30 50 Income Medium 30 10 40 Low 40 10 50 Total 90 50 140 Loan Approve No Approve Approve Total High 60 10 70 Liability Normal 30 40 70 Total 90 50 140 Explain your work. (Detail!!!!!) a. (1 point) Based on these contingency tables find initial entropy: b. (2 point) Based on these contingency tables, find entropy and information gain with the new information, (1) Income: