1. (Total: 6 points) Recall our discussion of Information Theory in class, and the specific problem of Entropy and Infor

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1. (Total: 6 points) Recall our discussion of Information Theory in class, and the specific problem of Entropy and Infor

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1 Total 6 Points Recall Our Discussion Of Information Theory In Class And The Specific Problem Of Entropy And Infor 1
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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: High Medium Low Total Loan Approve Approve 30 10 10 50 No Approve 20 30 40 90 Income Total 50 40 50 140 No Approve 60 30 90 High Normal Total Loan Approve Approve 10 40 50 Total 70 70 140 Liability 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:
c. (2 point) Based on these contingency tables, find entropy and information gain with the new information, (2) Liability: more d. (1 point) Based on the information gain functions above, which information is important between Income and Liability? And, why?
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