II$.$ Problem$3$:Decision Tree

A$.$ We will use the dataset below to learn a decision tree which predicts Y class $($Yes or No$),$

based on Feature$1$ and Feature$2$

$1.$ What is the entropy $H(Y)?$

$2.$ What is the entropy HY $|$ Feature $1)?$

$3.$ What is the entropy HY $|$ Feature$2)?$

$4.$ Draw the full decision tree that would be learned for this dataset $($use the Gain$).$