plumiDiscrete random variables: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 1.1 Discrete 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 14 questions on Discrete random variables, as a list
- June 2025, Further Statistics 1, Q2 (9 marks): The discrete random variable X has probability distribution x –1 a b P(X = x) 1 2 1 4 1 4 where a and b are positive constants. (a) Find an expression for E(X)
- June 2025, Further Statistics 1, Q6 (13 marks): A biased coin and a fair coin are thrown repeatedly. The probability that the biased coin shows heads is 1 3 Let B represent the number of throws of the biased
- June 2025, AS Further Statistics 1, Q2 (12 marks): The discrete random variable X represents the score when a spinner is spun. The probability distribution of X is given by x 2 5 9 P(X = x) 0.6 0.3 0.1 (a) Find
- June 2024, Further Statistics 1, Q1 (6 marks): The discrete random variable X has the following probability distribution x – 1 0 1 3 5 P(X = x) 0.2 0.1 0.2 0.25 0.25 (a) Find Var(X ) (3) (b) Find Var(X 2) (3
- June 2024, Further Statistics 1, Q7 (18 marks): The probability of winning a prize when playing a single game of Pento is 1 5 When more than one game is played the games are independent. Sam plays 20 games. (
- June 2023, Further Statistics 1, Q1 (9 marks): The discrete random variable X has probability distribution x – 2 – 1 0 1 3 P(X = x) 0.25 a b a 0.30 where a and b are probabilities. (a) Find E(X) (2) Given th
- June 2023, AS Further Statistics 1, Q1 (6 marks): The discrete random variable X has the following distribution x 0 1 2 3 4 P(X = x) r k k 2 k 3 k 4 where r and k are positive constants. The standard deviation
- June 2022, Further Statistics 1, Q2 (9 marks): The discrete random variable X has probability distribution x –5 –1 0 5 b P(X = x) 0.3 0.25 0.1 0.15 0.2 where b is a constant and b > 5 (a) Find E(X ) in terms
- June 2022, AS Further Statistics 1, Q4 (14 marks): The discrete random variable X has the following probability distribution x 0 2 3 6 P(X = x) p 0.25 q 0.4 (a) Find in terms of q (i) E(X ) (ii) E(X 2) (2) Given
- November 2021, Further Statistics 1, Q4 (10 marks): Members of a photographic group may enter a maximum of 5 photographs into a members only competition. Past experience has shown that the number of photographs,
- November 2020, Further Statistics 1, Q4 (8 marks): The discrete random variable X has the following probability distribution. x –5 –2 3 4 P(X = x) 1 12 1 6 1 4 1 2 (a) Find Var(X) (3) The discrete random variabl
- November 2020, AS Further Statistics 1, Q3 (7 marks): The probability distribution of the discrete random variable X is P(X = x) = k x x m x x for = 1, 2 and 3 for = 6 and 9 2 0 otherwise where k a
- June 2019, AS Further Statistics 1, Q4 (14 marks): The discrete random variable X has probability distribution x –3 –1 1 2 4 P(X = x) q 7 30 7 30 q r where q and r are probabilities. (a) Write down, in terms of
- June 2018, AS Further Statistics 1, Q3 (12 marks): A fair six-sided black die has faces numbered 1, 2, 2, 3, 3 and 4 The random variable B represents the score when the black die is rolled. (a) Write down the va
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