plumiSamples and estimators: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 5.1 Samples and estimators, 2018–2025, with its mark scheme and examiner’s report.
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All 8 questions on Samples and estimators, as a list
- Summer 2025, Unit 5, Q2 (5 marks): The continuous random variable X is uniformly distributed over the interval (–θ, θ ), where θ is 2. an unknown constant. Find X 2 E (a) . [4] Hence, write d
- Summer 2025, Unit 5, Q7 (17 marks): 7. The discrete random variable X denotes the score of a player in each round of a game. The score X has the following probability distribution, where θ is an u
- Summer 2024, Unit 5, Q5 (19 marks): The probability density function of the continuous random variable X is given by 5. 3 2 x f x ( ) for 0 X x X 3 f x ( ) 0 otherwise. X is the mean of a
- Summer 2023, Unit 5, Q1 (11 marks): 1. The average time it takes for a new kettle to boil, when full of water, is 305 seconds. An old kettle will take longer, on average, to boil. Alun suspects th
- Summer 2023, Unit 5, Q2 (19 marks): The random variables X and Y are independent, with X having mean μ and variance σ2, and Y having mean μ and variance kσ2, where k is a positive constant. 2. Let
- Summer 2022, Unit 5, Q7 (19 marks): 7. B C A D $ $ The diagram above shows a cyclic quadrilateral ABCD, where BAD = α, BCD = β and α + β = 180°. These angles are measured. $ $ The random variables
- Summer 2019, Unit 5, Q2 (6 marks): 2. The continuous random variable X is uniformly distributed over the interval (θ – 1, θ + 5), where θ is an unknown constant. (a) Find the mean and the varianc
- Summer 2019, Unit 5, Q8 (18 marks): 8. The random variable X has probability density function ( ) = 1 + 3λx − 1 2 X x X 1 , f x for 2 2 ( ) = 0 otherwise, f x where λ is an unknown parameter such
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