c$.$ Use Age$=51$ as a split value to separate the newspaper subscribers from nonsubscribers, please calculate the Gini impurity index. Please show your complete work below.

d$.$ Use Income $\backslash (=61,000\backslash )$ as a split value to separate the newspaper subscribers from nonsubscribers, please calculate the Gini impurity index. Please show your complete work below.

e$.$ Assume that the split with Age$=51$ produces the smallest Gini index across all possible Age splits, and assume that the best$-$split value for Income is $61,000,$ which predictor variable should be chosen as the first split for a decision tree? Why?