We will use the dataset below to learn a decision tree which predicts if people pass machine learning $($Yes or No$),$ based on their previous GPA $($High$,$ Medium, or Low$)$ and whether or not they studied. $($For this problem, you can write your answers using lo $92,$ but it may be helpfulto note that $1$o g$23=1\mathrm{.}6.)$GPALJJTH HStudiedHHPassedFT FT T Ta$)$ What is the entropy H$($Passed$)?$Ans: H$($Passed$)=-2/6$ lo gz $2/6+4/6$ logz $4/6)$H$($Passed$)=-(1/3$ log$21/3+2/3$ log$22/3)$H$($Passed$)=10923-2/3-$: $0\mathrm{.}92$b$)$ What is the entropy and Information Gain for H$($Passed $|$ GPA$)?$