plumiPoisson and exponential distributions: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 2.3 Poisson and exponential distributions, 2018–2025, with its mark scheme and examiner’s report.
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All 5 questions on Poisson and exponential distributions, as a list
- Summer 2025, AS Unit 2, Q6 (15 marks): 6. (a) The random variable X has a probability density function given by { ke–kx x x 0 f x ( ) = 0 otherwise (i) What is the name of the distribution that X fol
- Summer 2024, AS Unit 2, Q1 (14 marks): Dave and Llinos like to go fishing. When they go fishing, on average, Dave catches 4.3 fish per 1. day and Llinos catches 3.8 fish per day. A day of fishing is
- Summer 2023, AS Unit 2, Q3 (11 marks): 3. It is known that the average lifetime of hair dryers from a certain manufacturer is 2 years. The lifetimes are exponentially distributed. Find the probabilit
- Summer 2022, AS Unit 2, Q3 (11 marks): 3. Two basketball players, Steph and Klay, score baskets at random at a rate of 2·1 and 1·9 respectively per quarter of a game. Assume that baskets are scored i
- Summer 2019, AS Unit 2, Q3 (9 marks): 3. The number of claims made to the home insurance department of an insurance company follows a Poisson distribution with mean 4 per day. (a) Find the probabili
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