For the below data table, calculate the Entropy and Information Gain to determine which of $x,Y$ and $Z$ would be the best choice of Root node.

Expectations:

Determine overall Entropy for the dataset

Determine Information Gain for $x,Y$ and $Z$

Provide your feed back as to which of $x,Y$ and $Z$ is the correct choice to be the Root Node.

$\backslash$table$[[x,Y,Z,$Category$],[1,1,1,A$