plumiThe Poisson distribution: OCR MEI A‑Level Further Maths questions
OCR MEI 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 24 questions on The Poisson distribution, as a list
- June 2025, Statistics Major, Q9 (13 marks): A consultant is modelling the number of trades per minute of a particular share in a stock exchange. The number of trades per minute in a random sample of 200 m
- June 2025, Statistics Minor, Q1 (6 marks): A discrete random variable, X, has a Poisson distribution with mean 4. (a) Write down the value of Var X . ( ) [1] (b) Find ( P X 3 ) . [1] = (c) Find ( P X 3 )
- June 2025, AS Statistics A, Q6 (10 marks): The number of misprints in every 100 000 words of a book is denoted by the random variable X. The probability of any given word being misprinted is 0.000 11. Yo
- June 2024, Statistics Major, Q2 (7 marks): The number of cars arriving per minute to queue at a drive-through fast-food restaurant is modelled by the random variable X. The standard deviation of X is 0.6
- June 2024, Statistics Minor, Q5 (12 marks): Over a long period of time, it is found that the mean number of mistakes made by a certain player when playing a particular piece of music is 5. The number of m
- June 2024, AS Statistics A, Q3 (14 marks): A glassware factory produces a large number of ornaments each week. Just before they leave the factory, all the ornaments are checked and some may be found to b
- June 2023, Statistics Major, Q1 (10 marks): A website simulates the outcome of throwing four fair dice. Ten thousand people take part in a challenge using the website in which they have one attempt at get
- June 2023, Statistics Minor, Q4 (13 marks): Eve lives in a narrow lane in the country. She wonders whether the number of vehicles passing her house per minute can be modelled by a Poisson distribution wit
- June 2023, AS Statistics A, Q4 (10 marks): At a parcel delivery company it is known that the probability that a parcel is delivered to the wrong address is 0.0005. On a particular day, 15 000 parcels are
- June 2022, Statistics Major, Q1 (7 marks): During a meteor shower, the number of meteors that can be seen at a particular location can be modelled by a Poisson distribution with mean 1.2 per minute. (a)
- June 2022, Statistics Minor, Q3 (15 marks): Jane wonders whether the number of wasps entering a wasp’s nest per 5 second interval can be modelled by a Poisson distribution with mean n. She counts the numb
- June 2022, AS Statistics A, Q2 (7 marks): On a car assembly line, a robot is used for a particular task. (a) State the conditions under which a Poisson distribution is an appropriate model for the numbe
- November 2021, Statistics Major, Q4 (8 marks): A radioactive source contains 1 000 000 nuclei of a particular radioisotope. On average 1 in 200 000 of these nuclei will decay in a period of 1 second. The ran
- November 2021, Statistics Major, Q6 (14 marks): Cosmic rays passing through the upper atmosphere cause muons, and other types of particle, to be formed. Muons can be detected when they reach the surface of th
- November 2021, Statistics Minor, Q5 (10 marks): Biological cell membranes have receptor molecules which perform various functions. It is known that the number of receptor molecules of a particular type can be
- November 2021, AS Statistics A, Q4 (6 marks): It is known that in an electronic circuit, the number of electrons passing per nanosecond can be modelled by a Poisson distribution. In a particular electronic
- November 2021, AS Statistics A, Q7 (13 marks): A biologist is investigating migrating butterflies. Fig. 7.1 shows the numbers of migrating butterflies passing her location in 100 randomly chosen one-minute p
- November 2020, Statistics Major, Q2 (9 marks): On average 1 in 4000 people have a particular antigen in their blood (an antigen is a molecule which may cause an adverse reaction). (a) (i) A random sample of
- November 2020, Statistics Minor, Q2 (11 marks): On computer monitor screens there are often one or more tiny dots which are permanently dark and do not display any of the image. Such dots are known as ‘dead p
- November 2020, AS Statistics A, Q1 (12 marks): The random variable X represents the number of cars arriving at a car wash per 10-minute period. From observations over a number of days, an estimate was made o
- June 2019, Statistics Major, Q2 (9 marks): A special railway coach detects faults in the railway track before they become dangerous. (a) Write down the conditions required for the numbers of faults in th
- June 2019, Statistics Minor, Q4 (17 marks): Zara uses a metal detector to search for coins on a beach. She wonders if the numbers of coins that she finds in an area of 10m2 can be modelled by a Poisson di
- June 2019, AS Statistics A, Q2 (9 marks): Almost all plants of a particular species have red flowers. However on average 1 in every 1500 plants of this species have white flowers. A random sample of 200
- June 2018, AS Statistics A, Q1 (7 marks): Over a period of time, radioactive substances decay into other substances. During this decay a Geiger counter can be used to detect the number of radioactive pa
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