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A random variable \(X\) has probability density function given by
$$f ( x ) = \begin{cases} ( \sqrt { } 2 ) \cos x & 0 \leqslant x \leqslant \frac { 1 } { 4 } \pi
0 & \text { otherwise } \end{cases}$$
as shown in the diagram.
- Find \(\mathrm { P } \left( X > \frac { 1 } { 6 } \pi \right)\).
- Find the median of \(X\).
- Find \(\mathrm { E } ( X )\).
If you use the following lined page to complete the answer(s) to any question(s), the question number(s) must be clearly shown.