CAIE S2 2003 June — Question 4

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2003
SessionJune
TopicContinuous Probability Distributions and Random Variables
TypeCalculate probability P(X in interval)
4 A random variable \(X\) has probability density function given by $$f ( x ) = \begin{cases} 1 - \frac { 1 } { 2 } x & 0 \leqslant x \leqslant 2
0 & \text { otherwise } \end{cases}$$
  1. Find \(\mathrm { P } ( X > 1.5 )\).
  2. Find the mean of \(X\).
  3. Find the median of \(X\).
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