We will use the dataset below to learn a decision

tree which predicts if people pass a test $($Yes or

No$),$ based on their previous GPA $($H:High,

M:Medium, or L:Low$)$ and whether or not they

studied. "GPA" and "Studied" are the features

$($attributes$),$ and "Passed" is the class.

GPA Studied Passed

a$)$ Find the Entropy of the class variable $($Passed$).$

$[1$ marks$]$

b$)$ Calculate the Gain $($Information Gain$)$ of "GPA"

and "Studied". Which one will be chosen as the

Root of the tree? $[1\mathrm{.}5$ marks$]$