plumiDiscrete random variables: OCR A‑Level Further Maths questions
OCR 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 11 questions on Discrete random variables, as a list
- June 2025, AS Statistics, Q5 (9 marks): The probability distribution of a discrete random variable U is given in the table. u 0 1 2 3 U u r 0.3 p 0 5 - . p P ( ) = (a) Find the value of the constant r
- June 2024, Statistics, Q1 (8 marks): A discrete random variable X has the following distribution, where a, b and c are constants. x 0 1 2 3 X x a b c 0.1 P ( ) = It is given that ( ) E X 1 25 . and
- June 2024, AS Statistics, Q1 (8 marks): The random variable W can take values 1, 2 or 3 and has a discrete uniform distribution. (a) Write down the value of E(2W ). [1] (b) Find the value of Var(2W ).
- June 2023, AS Statistics, Q4 (7 marks): A discrete random variable W has the probability distribution shown in the following table, in which a and b are constants. w 58 59 60 61 62 63 a b 0.2 0.2 0.1
- June 2022, Statistics, Q3 (8 marks): In this question you must show detailed reasoning. A discrete random variable V has the following probability distribution, where p and q are constants. v 0 1 2
- June 2022, AS Statistics, Q3 (9 marks): A discrete random variable X has the following probability distribution. x 1 2 3 4 p 0.31 0.3 P(X = x) p2 (a) Determine the value of p. [3] (b) It is given that
- November 2021, Statistics, Q2 (7 marks): A discrete random variable D has the following probability distribution, where a is a constant. d 0 2 4 6 a 0.1 0.3 0.2 P(D = d ) Determine the value of Var(3D
- November 2021, AS Statistics, Q1 (8 marks): The discrete random variable A has the following probability distribution. a 1 2 5 10 20 0.3 0.1 0.1 0.2 0.3 P(A = a) (a) Find the value of E(A). [2] (b) Determ
- June 2019, Statistics, Q7 (10 marks): 7 The random variable D has the distribution Geo(p). It is given that Var D ( ) . = 9 Determine (a) Var ( 3 D 5 ) , [1] + (b) E ( 3 D 5 ) , [6] + (c) P ( D 2 E
- June 2019, AS Statistics, Q1 (9 marks): When a spinner is spun, the outcome is equally likely to be 1, 2 or 3. In a competition, the spinner is spun twice and the outcomes are added to give a total sc
- June 2018, AS Statistics, Q2 (8 marks): The probability distribution for the discrete random variable W is given in the table. w 1 2 3 4 ^ h x2 P W w 0.25 0.36 x = ^ h (i) Show that W [7] Var 0 8571 .
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