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