5 The continuous random variable \(X\) has probability density function f given by
$$\mathrm { f } ( x ) = \begin{cases} 0.01 \mathrm { e } ^ { - 0.01 x } & x \geqslant 0
0 & x < 0 \end{cases}$$
- State the value of \(\mathrm { E } ( X )\).
- Find the median value of \(X\).
- Find the probability that \(X\) lies between the median and the mean.