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Functions of a continuous random variable: OCR A‑Level Further Maths questions

OCR A-Level Further Maths past-paper questions on 4.4 Functions of a continuous random variable, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

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All 3 questions on Functions of a continuous random variable, as a list
  1. June 2023, Statistics, Q6 (7 marks): The continuous random variable X has a uniform distribution on the interval [ , ] . - r r The random variable Y is defined by Y sin X . = Determine the cumulati
  2. November 2021, Statistics, Q8 (11 marks): The continuous random variable Y has a uniform distribution on [0, 2]. (a) It is given that E[a cos(aY )] = 0.3, where a is a constant between 0 and 1, and aY i
  3. June 2019, Statistics, Q9 (14 marks): The continuous random variable T has cumulative distribution function ' 0 t 1 0 , F t ( ) = 0 25 . t 1 e t 0 . - - H (a) Find the cumulative distribution functi

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