2 The random variable \(X\) takes the values \(- 2 , - 1,0,2,3\). It is given that \(\mathrm { P } ( X = x ) = k \left( x ^ { 2 } + 2 \right)\), where \(k\) is a positive constant.
- Draw up the probability distribution table for \(X\), giving the probabilities as numerical fractions.
- Find the value of \(\operatorname { Var } ( X )\).