Edexcel S2 2006 January — Question 3

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2006
SessionJanuary
TopicContinuous Uniform Random Variables
TypeCalculate probabilities and expectations
3. The random variable \(X\) is uniformly distributed over the interval \([ - 1,5 ]\).
  1. Sketch the probability density function \(\mathrm { f } ( x )\) of \(X\). Find
  2. \(\mathrm { E } ( X )\),
  3. \(\operatorname { Var } ( \mathrm { X } )\),
  4. \(\mathrm { P } ( - 0.3 < X < 3.3 )\).
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