$($e$)$ What is the purpose of using Information Gain in the construction of decision

trees? $(2)$

$($f$)$ Calculate the Information Gain for the F attribute in Table $1.(8)$

$($g$)$ Given the following Information Gain values:

InformationGain$($V$,$ C $)=0\mathrm{.}799$

InformationGain$($V$,$ F$)=0\mathrm{.}286$

which attribute becomes the root node for a decision tree for the data in

Table $1?$ Explain why this attribute is the correct root node. $(2)$