Problem $3$

Consider a classification problem with two binary inputs $x_1,x_2$ and a binary target $Y.$ A decision rule specifies the value of the output $($predicted target$)$ hat$(y)$ given values of the inputs $x_1,x_2.$ Since your two inputs are binary, there are only four possible input combinations, so a decision rule should specify the output hat$(y)$ for each of the following sets of inputs:

$\backslash$table$[[$Input $x_1,$Input $x_2,$Output $($prediction$)$ hat$(y)$