6 The continuous random variable \(X\) has probability density function
$$f ( x ) = \left\{ \begin{array} { c c }
\frac { 4 } { 45 } \left( x ^ { 3 } - 10 x ^ { 2 } + 29 x - 20 \right) & 1 \leq x \leq 4
0 & \text { otherwise }
\end{array} \right.$$
6
Find \(\mathrm { P } ( X < 2 )\)
6
Verify that the median of \(X\) is 2.3 , correct to two significant figures.
6