5 A continuous random variable, $X$, has probability density function given by

$$f ( x ) = \begin{cases} \frac { 1 } { 4 } ( x + 1 ) & 0 \leqslant x \leqslant 2 \\ 0 & \text { otherwise } \end{cases}$$

(i) Find $\mathrm { E } ( X )$.\\
................................................................................................................................. .\\

(ii) Find the median of $X$.\\

\hfill \mbox{\textit{CAIE S2 2017 Q5}}