Edexcel FS2 AS Specimen — Question 4

Exam BoardEdexcel
ModuleFS2 AS (Further Statistics 2 AS)
SessionSpecimen
TopicContinuous Uniform Random Variables
TypeCalculate probabilities and expectations
  1. The continuous random variable \(X\) is uniformly distributed over the interval \([ - 3,5 ]\).
    1. Sketch the probability density function \(\mathrm { f } ( \mathrm { x } )\) of X .
    2. Find the value of k such that \(\mathrm { P } ( \mathrm { X } < 2 [ \mathrm { k } - \mathrm { X } ] ) = 0.25\)
    3. Use algebraic integration to show that \(\mathrm { E } \left( \mathrm { X } ^ { 3 } \right) = 17\)
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