plumiContinuous distributions: OCR A‑Level Further Maths questions
Every OCR A-Level Further Maths exam question on FS.4 Continuous distributions, 2018–2025, with its mark scheme and examiner’s report.
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![June 2023 Statistics, question 6: 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](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y54201-jun23-06-qp.webp?v=3)
![November 2021 Statistics, question 8: 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](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y54201-nov21-08-qp.webp?v=3)
All 7 questions on Continuous distributions, as a list
- 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
- 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
- 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
- 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
- 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
- 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
- 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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