- The random variable \(X\) has the discrete uniform distribution
$$\mathrm { P } ( X = x ) = \frac { 1 } { 5 } , \quad x = 1,2,3,4,5$$
- Write down the value of \(\mathrm { E } ( X )\) and show that \(\operatorname { Var } ( X ) = 2\).
Find
- \(\mathrm { E } ( 3 X - 2 )\),
- \(\operatorname { Var } ( 4 - 3 X )\).