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Given the training data for a sample of 10 mortgage applicants in the table below and using the measures of Information Gain and Entropy, determine

Given the training data for a sample of 10 mortgage applicants in the table below and using the measures of Information Gain and Entropy, determine the descriptive feature which should be at the root node of a decision tree that helps predict whether an applicant will or will not be approved their mortgage application. Give a complete explanation for your choice and show your workings in full. Please read the notes to the table.

Index mortgage approved married age > Median Applicant
0 yes yes no
1 yes yes no
2 yes yes yes
3 no yes yes
4 yes yes no
5 no no yes
6 no no yes
7 yes no no
8 no yes yes
9 no no yes

Notes: The variable Mortgage Approved indicates whether the applicant has been approved a mortgage (Yes) or not (No). The variable Married indicates whether the applicant is married (Yes) or not (No). The variable Age > Median Applicant indicates whether the applicants age is greater than the median applicants (Yes) or less than the median applicants (No). Proper explanation required.

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