5. The discrete random variable \(X\) has the probability function shown below. $$P ( X = x ) = \left\{ \begin{array} { c c } k x , & x = 2,3,4,5,6
0 , & \text { otherwise } \end{array} \right.$$

1. Find the value of \(k\).
2. Show that \(\mathrm { E } ( X ) = \frac { 9 } { 2 }\). Find
3. \(\mathrm { P } [ X > \mathrm { E } ( X ) ]\),
4. \(\mathrm { E } ( 2 X - 5 )\),
5. \(\operatorname { Var } ( X )\).