plumiExponential and continuous uniform distributions: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on SF.1 Exponential and continuous uniform distributions, 2019–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
All papers
All years
Loading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDFLoading the question…
Open the full PDF
All 12 questions on Exponential and continuous uniform distributions, as a list
- June 2025, Paper 3 Statistics, Q5 (6 marks): The discrete random variable D has a discrete uniform distribution taking values 1, 2, 3, …, n The continuous random variable R has a rectangular distribution t
- June 2025, Paper 3 Statistics, Q9 (11 marks): A company sends out text messages to customers at random times during working hours. The mean number of text messages sent per 30 minutes is 60 One text message
- June 2024, Paper 3 Statistics, Q2 (1 mark): The random variable T has an exponential distribution with mean 2 Find P(T ≤ 1.4) Circle your answer. [1 mark] e–2.8 e–0.7 1 – e–0.7 1 – e–2.8
- June 2023, Paper 3 Statistics, Q2 (1 mark): The time, T days, between rain showers in a city in autumn can be modelled by an exponential distribution with mean 1.25 Find the distribution of the number of
- June 2023, Paper 3 Statistics, Q6 (7 marks): A game consists of two rounds. The first round of the game uses a random number generator to output the score X, a real number between 0 and 10 6 (a) Find P(X >
- June 2022, Paper 3 Statistics, Q3 (5 marks): The random variable X has an exponential distribution with probability density function f (x) = le×lx where x × 0 3 (a) Show that the cumulative distribution fu
- June 2022, Paper 3 Statistics, Q9 (4 marks): Lianne models the maximum time in hours that a rechargeable battery can be used, before needing to be recharged, with a rectangular distribution with values bet
- November 2021, Paper 3 Statistics, Q7 (11 marks): The random variable X has an exponential distribution with parameter l 7 (a) Prove that E(X) = 1 l [4 marks] 7 (b) Prove that Var (X ) = 1 l2 [7 marks]
- November 2020, Paper 3 Statistics, Q1 (1 mark): The continuous random variable X has probability density function f (x) = 1 5 1 − x − 6 0 otherwise 8 > < > : Find P(X × 3) Circle your answer. [1 mark] 1 5 2 5
- November 2020, Paper 3 Statistics, Q6 (8 marks): The distance, X metres, between successive breaks in a water pipe is modelled by an exponential distribution. The mean of X is 25 The distance between two succe
- June 2019, Paper 3 Statistics, Q4 (7 marks): A random variable X has a rectangular distribution. The mean of X is 3 and the variance of X is 3 4 (a) Determine the probability density function of X. Fully j
- June 2019, Paper 3 Statistics, Q8 (12 marks): The number of telephone calls received by an office can be modelled by a Poisson distribution with mean 3 calls per 10 minutes. 8 (a) Find the probability that:
Questions, mark schemes and examiner’s reports are © AQA, from their published past papers. Plumi isn’t affiliated with any exam board. Want whole papers? AQA A-Level Further Maths past papers.
The Plumi iPad app also offers exam-style questions with AI feedback on your handwritten working.