Tests for Poisson and geometric parameters: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 2.1 Tests for Poisson and geometric parameters, 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 11 questions on Tests for Poisson and geometric parameters, as a list
- June 2025, Further Statistics 1, Q7 (14 marks): A software company develops computer programs. Its Lovelace program is found to glitch 7 times on average when it is run. The company makes some alterations to
- June 2025, AS Further Statistics 1, Q3 (11 marks): Raoul, Steffi and Taro are catching butterflies for research. The number of butterflies caught by Raoul per hour may be assumed to follow a Poisson distribution
- June 2024, Further Statistics 1, Q2 (7 marks): The number of errors made by a secretary is modelled by a Poisson distribution with a mean of 2.4 per 100 words. A 100‑word piece of work completed by the secre
- June 2024, Further Statistics 1, Q4 (12 marks): Every morning Geethaka repeatedly rolls a fair, six‑sided die until he rolls a 3 and then he stops. The random variable X represents the number of times he roll
- June 2023, Further Statistics 1, Q2 (11 marks): Telephone calls arrive at a call centre randomly, at an average rate of 1.7 per minute. After the call centre was closed for a week, in a random sample of 10 mi
- June 2022, Further Statistics 1, Q3 (14 marks): During the summer, mountain rescue team A receives calls for help randomly with a rate of 0.4 per day. (a) Find the probability that during the summer, mountain
- June 2022, AS Further Statistics 1, Q2 (10 marks): Xena catches fish at random, at a constant rate of 0.6 per hour. (a) Find the probability that Xena catches exactly 4 fish in a 5‑hour period. (2) The probabili
- November 2021, Further Statistics 1, Q2 (14 marks): On a weekday, a garage receives telephone calls randomly, at a mean rate of 1.25 per 10 minutes. (a) Show that the probability that on a weekday at least 2 call
- November 2020, Further Statistics 1, Q1 (13 marks): The number of customers entering Jeff’s supermarket each morning follows a Poisson distribution. Past information shows that customers enter at an average rate
- June 2019, Further Statistics 1, Q5 (12 marks): Information was collected about accidents on the Seapron bypass. It was found that the number of accidents per month could be modelled by a Poisson distribution
- June 2019, AS Further Statistics 1, Q3 (13 marks): Andreia’s secretary makes random errors in his work at an average rate of 1.7 errors every 100 words. (a) Find the probability that the secretary makes fewer th
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