plumiExponential distribution: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on SF Exponential distribution, 2019–2025, with its mark scheme and examiner’s report.
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All 7 questions on Exponential distribution, as a list
- 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 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
- 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, 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, 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:
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