plumiPoisson distribution: AQA A‑Level Further Maths questions
Every AQA A-Level Further Maths exam question on SB Poisson distribution, 2019–2025, with its mark scheme and examiner’s report.
Paper
All papers
Exam
All years
All 17 questions on Poisson 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 2025, AS Paper 2 Statistics, Q2 (1 mark): The random variable X ~ Po(6.50) The random variable Y ~ Po(20.54) The random variables X and Y are independent. Find the standard deviation of X + Y Circle you
- June 2025, AS Paper 2 Statistics, Q7 (8 marks): Kristi set up a website for her new home business. The number of visitors per hour to the website is modelled using a Poisson distribution. During the first mon
- June 2024, Paper 3 Statistics, Q1 (1 mark): The random variable X has a Poisson distribution with mean 16 Find the standard deviation of X Circle your answer. [1 mark] _ 4 8 16 256
- June 2024, Paper 3 Statistics, Q4 (6 marks): Research has shown that the mean number of volcanic eruptions on Earth each day is 20 Sandra records 162 volcanic eruptions during a period of one week. Sandra
- June 2024, AS Paper 2 Statistics, Q7 (11 marks): Over a period of time, it has been shown that the mean number of customers entering a small store is 6 per hour. The store runs a promotion, selling many produc
- 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, Q7 (11 marks): Company A uses a machine to produce toys. The number of toys in a week that do not pass Company A’s quality checks is modelled by a Poisson distribution X with
- June 2023, AS Paper 2 Statistics, Q6 (7 marks): An insurance company models the number of motor claims received in 1 day using a Poisson distribution with mean 65 6 (a) Find the probability that the company r
- June 2022, Paper 3 Statistics, Q4 (5 marks): Daisies and dandelions are the only flowers growing in a field. The number of daisies per square metre in the field has a mean of 16 The number of dandelions pe
- June 2022, AS Paper 2 Statistics, Q6 (8 marks): The number of computers sold per day by a shop can be modelled by the random variable Y where Y × Po(42) 6 (a) State the variance of Y [1 mark] 6 (b) One month
- November 2021, Paper 3 Statistics, Q8 (13 marks): A company records the number of complaints, X, that it receives over 60 months. The summarised results are X x = 102 and X (x × x)2 = 103:25 8 (a) Using this da
- November 2021, AS Paper 2 Statistics, Q2 (1 mark): The random variable A has a Poisson distribution with mean 2 The random variable B has a Poisson distribution with standard deviation 4 The random variables A a
- November 2020, Paper 3 Statistics, Q5 (7 marks): Emily claims that the average number of runners per minute passing a shop during a long distance run is 8 Emily conducts a hypothesis test to investigate her cl
- November 2020, AS Paper 2 Statistics, Q8 (9 marks): There are two hospitals in a city. Over a period of time, the first hospital recorded an average of 20 births a day. Over the same period of time, the second ho
- 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:
- June 2019, AS Paper 2 Statistics, Q6 (7 marks): A company owns two machines, A and B, which make toys. Both machines run continuously and independently. Machine A makes an average of 2 errors per hour. 6 (a)
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? Every AQA A-Level Further Maths paper.
Rather write your answers by hand on iPad? Plumi marks them against the same mark schemes.