plumiDiscrete random variables and expectation: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 2.1 Discrete random variables and expectation, 2018–2025, with its mark scheme and examiner’s report.
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All 9 questions on Discrete random variables and expectation, as a list
- 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 2025, AS Unit 2, Q1 (11 marks): 1. The random variable X has the binomial distribution B(n, p). Given that E(X) = 4 and E(X 2 ) = 18.4, calculate the values of n and p. (a) [6] The random vari
- Summer 2025, AS Unit 2, Q3 (9 marks): 3. A game at a charity fundraising event involves two independent, identical spinners numbered 1, 2, 3 and 4. The score on each spinner is uniformly distributed
- Summer 2024, AS Unit 2, Q6 (7 marks): 6. Penelope makes 8 cakes per week. Each cake costs £20 to make and sells for £60. She always sells at least 5 cakes per week. Any cakes left at the end of the
- Summer 2023, AS Unit 2, Q1 (7 marks): 1. The random variable X has mean 17 and variance 64. The independent random variable Y has mean 10 and variance 16. Find the value of E(4Y – 2X + 1), (a) [2] V
- Summer 2022, AS Unit 2, Q1 (7 marks): 1. The probability distribution for the prize money, £X per ticket, in a local fundraising lottery is shown below. x 0 2 100 1000 P(X = x) 0·9 0·09 p 0·0001 (a)
- Summer 2019, AS Unit 2, Q2 (9 marks): 2. The probability of winning a certain game at a funfair is p. Aman plays the game 5 times and Boaz plays the game 8 times. The independent random variables X
- Summer 2018, AS Unit 2, Q1 (8 marks): The random variable X has the binomial distribution B(12, 0.3). The independent random 1. variable Y has the Poisson distribution Po(4). Find (a) E(XY), [2] (b)
- Summer 2018, AS Unit 2, Q3 (11 marks): 3. A game at a school fete is played with a fair coin and a random number generator which generates random integers between 1 and 52 inclusive. It costs 50 penc
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