plumiLinear combinations of random variables: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 6.1 Linear combinations of random variables, 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 10 questions on Linear combinations of random variables, as a list
- June 2025, Further Statistics 2, Q7 (11 marks): A random sample X1 , X2 , X3 , X4 and X5 is taken from a distribution X ~ N (μ, σ 2) Nina and Jonah each use unbiased estimators to estimate μ Nina uses X‾ = 1
- June 2024, Further Statistics 2, Q7 (11 marks): Two organisations are each asked to carry out a survey to find out the proportion, p, of the population that would vote for a particular political party. The fi
- June 2024, Further Statistics 2, Q8 (9 marks): A company packs chickpeas into small bags and large bags. The weight of a small bag of chickpeas is normally distributed with mean 500 g and standard deviation
- June 2023, Further Statistics 2, Q4 (8 marks): The weights of eggs, E grams, follow a normal distribution, N(60, 32) The weights of empty small boxes, S grams, follow a normal distribution, N(24, 1.82) The w
- June 2023, Further Statistics 2, Q8 (12 marks): A bag contains a large number of marbles of which an unknown proportion, p, is yellow. Three random samples of size n are taken, and the number of yellow marble
- June 2022, Further Statistics 2, Q3 (6 marks): The random variable X ~ N(5, 0.42) and the random variable Y ~ N(8, 0.12) X and Y are independent random variables. A random sample of a independent observation
- June 2022, Further Statistics 2, Q6 (15 marks): Korhan and Louise challenge each other to find an estimator for the mean, μ, of the continuous random variable X which has variance σ 2 X1, X2, X3, …, Xn are n
- November 2021, Further Statistics 2, Q7 (14 marks): The weights of a particular type of apple, A grams, and a particular type of orange, R grams, each follow independent normal distributions. A ~ N(160, 122) R ~
- November 2020, Further Statistics 2, Q7 (17 marks): 7 Fence panels come in two sizes, large and small. The lengths of the large panels are normally distributed with mean 198 cm and standard deviation 5 cm. The le
- June 2019, Further Statistics 2, Q7 (14 marks): 7 A manufacturer makes two versions of a toy. One version is made out of wood and the other is made out of plastic. The weights, W kg, of the wooden toys are no
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