Consider the training examples shown in the following table for a binary classificationproblem.Instance a$1$ a$2$ a$3$ Target Class$123456789$T T $1\mathrm{.}0$T T $6\mathrm{.}0$T F $5\mathrm{.}0$F F $4\mathrm{.}0$F T $7\mathrm{.}0$F T $3\mathrm{.}0$F F $8\mathrm{.}0$T F $7\mathrm{.}0$F T $5\mathrm{.}0++++$a$)$ What is the entropy of this collection of training examples with respect to the positiveclass?b$)$ What are the information gains of a$1$ and a$2$ relative to these training examples?c$)$ For a$3,$ which is a continuous attribute, compute the information gain for every possiblesplit.d$)$ What is the best split $($among a$1,$ a$2,$ and a$3)$ according to the information gain?e$)$ What is the best split $($between a$1$ and a$2)$ according to the Gini index?