Edexcel S2 2004 June — Question 1

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2004
SessionJune
TopicContinuous Uniform Random Variables
TypeCalculate probabilities and expectations

  1. Explain briefly what you understand by
    1. a sampling frame,
    2. a statistic.
    3. The continuous random variable \(X\) is uniformly distributed over the interval \([ - 1,4 ]\).
    Find
  2. \(\mathrm { P } ( X < 2.7 )\),
  3. \(\mathrm { E } ( X )\),
  4. \(\operatorname { Var } ( X )\).