plumiExponential and continuous uniform distributions: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 4.3 Exponential and continuous uniform distributions, 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 8 questions on Exponential and continuous uniform distributions, as a list
- June 2025, Statistics Major, Q5 (4 marks): The random variable X has a continuous uniform distribution over [ 4 2 , ] . - (a) Find the variance of X. [2] (b) Determine the probability that if two indepen
- June 2024, Statistics Major, Q10 (9 marks): Ben takes an underground train to work and back home each day. The waiting time is defined as the time from when he reaches the station platform until he boards
- June 2023, Statistics Major, Q8 (12 marks): The random variable X has a continuous uniform distribution over [0, 10]. (a) Find the probability that, if two independent values of X are taken, one is less t
- June 2022, AS Statistics B, Q2 (6 marks): The continuous random variable X has cumulative distribution function given by 0 x a , 1 * x a - x a x b F ( ) , = G G b a - 1 x 2 b , where a and b are constan
- June 2022, AS Statistics B, Q5 (8 marks): Layla works at an internet café. Each terminal at the café has its own keyboard, and keyboards need to be replaced whenever faults develop. Layla knows that the
- November 2021, Statistics Major, Q10 (9 marks): Sarah takes a bus to work each weekday morning and returns each evening. The times in minutes that she has to wait for the bus in the morning and evening are mo
- June 2019, Statistics Major, Q9 (15 marks): Every weekday Jonathan takes an underground train to work. On any weekday the time in minutes that he has to wait at the station for a train is modelled by the
- June 2018, AS Statistics B, Q4 (15 marks): The random variable X has a continuous uniform distribution on [0, 10]. ^ h. (i) Find P X [1] 3 1 1 6 (ii) Find each of the following. • E(X) • Var(X) [2] Maris
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