Q$4(2\mathrm{.}5$ points$)$

For the data shown in the following table $($Has Car, Education Level, Age Group, and Income Level$)$ as features $($attributes$)$ and a Class $($or output$)$ variable class with three values as $x,Y$ and Z $.$

$($a$)$ Calculate the Entropy of the Class.

$($b$)$ Suppose that the "Education Level" is the root of the tree. Complete the tree for the second level. $($i$.$e$.$ Replace $?$ with available features $($i$.$e$.$ Has Car, Age Group, and Income Level$)$ or with the class values i a $Yvv$ and $7$ II

$\backslash$table$[[$Has Car,Education Level,Age Group,Income Level,Class$],[$Yes$,$Bachelor,$20-30,$High,X$],[$No$,$High School,$30-40,$Low,Y$],[$Yes$,$Master,$40-50,$Medium,Z$],[$Yes$,$High School,$30-40,$Medium,Z$],[$No$,$Bachelor,$20-30,$Low,X$],[$No$,$Master,$40-50,$High,Y$],[$Yes$,$Bachelor,$20-30,$Low,X$],[$No$,$High School,$30-40,$Medium,Z$],[$Yes$,$Master,$40-50,$High,Y$]]$