plumiThe normal distribution: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 2.04.2 The normal 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 8 questions on The normal distribution, as a list
- June 2025, Paper 2, Q10 (5 marks): 1). 10 (a) The random variable W has the distribution B(12, 3 Find P(W H 7). [2] (b) The random variable X has the distribution N(45, 42). Find P(X 2 50). [1] (
- June 2025, Paper 2, Q14 (9 marks): The masses of stones on a certain beach are normally distributed with mean 0.36 kg and standard deviation 0.12 kg. (a) Find the probability that two stones chos
- June 2024, Paper 2, Q9 (8 marks): (a) The masses, M grams, of bags of flour are modelled by the distribution N(1002, 2.25). Find P(1000 1 M 1 1005). [1] 2 (b) The masses, in grams, of bags of su
- June 2023, Paper 2, Q11 (9 marks): 11 The random variable Y has the distribution N( , n v . ) (a) Find P( Y 2 n ) . [1] - v (b) Given that P( Y 2 45 ) 0 2 . and P( Y 1 2 5 ) 0 . 3 , determine the
- June 2022, Paper 2, Q9 (14 marks): The heights, in centimetres, of a random sample of 150 plants of a certain variety were measured. The results are summarised in the histogram. Frequency density
- November 2020, Paper 2, Q11 (9 marks): As part of a research project, the masses, m grams, of a random sample of 1000 pebbles from a certain beach were recorded. The results are summarised in the tab
- June 2019, Paper 2, Q9 (11 marks): (a) The masses, in grams, of plums of a certain kind have the distribution N(55, 18). (i) Find the probability that a plum chosen at random has a mass between 5
- June 2018, Paper 2, Q8 (8 marks): (i) The variable X has the distribution N(20, 9). (a) Find P(X 2 25). [1] (b) Given that P(X 2 a) = 0.2, find a. [1] (c) Find b such that P(20 - b 1 X 1 20 + b)
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