plumiThe Poisson distribution: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 1.2 The Poisson distribution, 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 15 questions on The Poisson distribution, as a list
- June 2025, Statistics, Q2 (7 marks): of a forest can be modelled by the 2 The number of trees of a particular species found in km 1 distribution Po m . ( ) The forest consists of two regions, A and
- June 2025, Statistics, Q9 (8 marks): A set of 50 independent observations of a discrete random variable X, with an unknown distribution, is found. (a) The mean and variance of the 50 observations a
- June 2025, AS Statistics, Q2 (10 marks): On any day, flights of helicopters and aeroplanes pass within sight of a certain building only during a daytime period of 12 hours, from 7.00 am to 7.00 pm. The
- June 2024, Statistics, Q5 (12 marks): Some bird-watchers study the song of chaffinches in a particular wood. They investigate whether the number, N, of separate bursts of song in a 5 minute period c
- June 2024, AS Statistics, Q4 (12 marks): In this question you must show detailed reasoning. The random variables X and Y denote the number of telephone calls and the number of e-mails, respectively, re
- June 2023, Statistics, Q8 (16 marks): A team of researchers have reason to believe that the number of calls received in randomly chosen 10-minute intervals to a call centre can be well modelled by a
- June 2023, AS Statistics, Q1 (7 marks): A radar device is used to detect flaws in motorway roads before they become dangerous. The number of flaws in a 1 km stretch of motorway is denoted by X. It may
- June 2022, Statistics, Q4 (9 marks): The manager of a car breakdown service uses the distribution Po(2.7) to model the number of punctures, R, in a 24‑hour period in a given rural area. The manager
- June 2022, AS Statistics, Q5 (9 marks): The manager of an emergency response hotline believes that calls are made to the hotline independently and at constant average rate throughout the day. From a s
- November 2021, AS Statistics, Q8 (11 marks): (a) A substance emits particles randomly at a constant average rate of 3.2 per minute. A second substance emits particles randomly, and independently of the fir
- November 2020, Statistics, Q6 (11 marks): The numbers of CD players sold in a shop on three consecutive weekends were 7, 6 and 2. It may be assumed that sales of CD players occur randomly and that nobod
- November 2020, AS Statistics, Q6 (10 marks): A statistician investigates the number, F, of signal failures per week on a railway network. (a) The statistician assumes that signal failures occur randomly. E
- June 2019, Statistics, Q2 (4 marks): The average numbers of cars, lorries and buses passing a point on a busy road in a period of 30 minutes are 400, 80 and 17 respectively. (a) Assuming that the n
- June 2019, AS Statistics, Q2 (6 marks): On any day, the number of orders received in one randomly chosen hour by an online supplier can be modelled by the distribution Po(120). (a) Find the probabilit
- June 2018, AS Statistics, Q3 (6 marks): In the manufacture of fibre optical cable (FOC), flaws occur randomly. Whether any point on a cable is flawed is independent of whether any other point is flawe
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