Edexcel S2 2009 January — Question 2

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2009
SessionJanuary
TopicContinuous Uniform Random Variables
TypeCalculate probabilities and expectations
  1. The continuous random variable \(X\) is uniformly distributed over the interval \([ - 2,7 ]\).
    1. Write down fully the probability density function \(\mathrm { f } ( x )\) of \(X\).
    2. Sketch the probability density function \(\mathrm { f } ( x )\) of \(X\).
    Find
  2. \(\mathrm { E } \left( X ^ { 2 } \right)\),
  3. \(\mathrm { P } ( - 0.2 < X < 0.6 )\).
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