CAIE S2 (Statistics 2) 2010 November

Question 4
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4
\includegraphics[max width=\textwidth, alt={}, center]{0784d885-5710-4eb4-8cf8-2582122bf7ed-2_351_554_1562_794} The diagram shows the graph of the probability density function, f , of a random variable \(X\) which takes values between 0 and 2 only.
  1. Find \(\mathrm { P } ( 1 < X < 1.5 )\).
  2. Find the median of \(X\).
  3. Find \(\mathrm { E } ( X )\).