- The probability distribution of the discrete random variable \(X\) is
$$P ( X = x ) = \begin{cases} \frac { k } { x } & \text { for } x = 1,2 \text { and } 3
\frac { m } { 2 x } & \text { for } x = 6 \text { and } 9
0 & \text { otherwise } \end{cases}$$
where \(k\) and \(m\) are positive constants.
Given that \(\mathrm { E } ( X ) = 3.8\), find \(\operatorname { Var } ( X )\)