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