CAIE S2 2017 November — Question 5

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2017
SessionNovember
TopicContinuous Probability Distributions and Random Variables
TypeFind median or percentiles

5 A continuous random variable, \(X\), has probability density function given by $$f ( x ) = \begin{cases} \frac { 1 } { 4 } ( x + 1 ) & 0 \leqslant x \leqslant 2
0 & \text { otherwise } \end{cases}$$
  1. Find \(\mathrm { E } ( X )\).
    ................................................................................................................................. .
  2. Find the median of \(X\).