$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline Day & Weather & Temperature & Humidity & Wind & Play? $\backslash \backslash$

$\backslash$hline $1$ & Sunny & Hot & High & Weak & No $\backslash \backslash$

$\backslash$hline $2$ & Cloudy & Hot & High & Weak & Yes $\backslash \backslash$

$\backslash$hline $3$ & Sunny & Mild & Normal & Strong & Yes $\backslash \backslash$

$\backslash$hline $4$ & Cloudy & Mild & High & Strong & Yes $\backslash \backslash$

$\backslash$hline $5$ & Rainy & Mild & High & Strong & No $\backslash \backslash$

$\backslash$hline $6$ & Rainy & Cool & Normal & Strong & No $\backslash \backslash$

$\backslash$hline $7$ & Rainy & Mild & High & Weak & Yes $\backslash \backslash$

$\backslash$hline $8$ & Sunny & Hot & High & Strong & No $\backslash \backslash$

$\backslash$hline $9$ & Cloudy & Hot & Normal & Weak & Yes $\backslash \backslash$

$\backslash$hline $10$ & Rainy & Mild & High & Strong & No $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

a$)(20$ points$)$ Draw the subtree for each attribute and calculate the Information Gain for all the attributes.

b$)(20$ points$)$ Based on the previous solution, which attribute will be used as a root node and Why?

c$)(20$ points$)$ Using the solution you have in the first question, design the decision tree.