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Probability density functions: OCR A‑Level Further Maths questions

OCR A-Level Further Maths past-paper questions on 4.1 Probability density functions, 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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  2. Q8

    June 2024 · Statistics

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  4. Q8

    November 2020 · Statistics

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All 4 questions on Probability density functions, as a list
  1. June 2025, Statistics, Q8 (13 marks): The proportion X of charge in a phone battery is measured on a scale from 0 (uncharged) to 1 (fully charged). For a certain model of phone, X can be modelled as
  2. June 2024, Statistics, Q8 (10 marks): A random sample of 100 students were given a task and the time taken by each student to complete the task was recorded. The maximum time allowed to complete the
  3. June 2022, Statistics, Q7 (8 marks): The continuous random variable X has probability density function n = * kx 0 x 1 , G G f x ( ) 0 otherwise, where k is a constant and n is a parameter whose val
  4. November 2020, Statistics, Q8 (15 marks): The continuous random variable X has probability density function k * x 1 , H f ( ) x n x = otherwise, 0 where n and k are constants and n is an integer greater

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