plumiDiscrete uniform and binomial in further statistics: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 1.4 Discrete uniform and binomial in further statistics, 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 13 questions on Discrete uniform and binomial in further statistics, as a list
- June 2025, AS Statistics, Q6 (13 marks): A spinner has probability 0.2 of landing on an edge coloured blue. The spinner is spun repeatedly. The number of spins required, up to and including the first s
- 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, Statistics, Q3 (6 marks): The discrete random variable W has the distribution U(11). The independent discrete random variable V has the distribution U(5). (a) It is given that, for const
- June 2023, AS Statistics, Q6 (12 marks): A machine is used to toss a coin repeatedly. Rosa believes that the outcome of each toss made by the machine is not independent of the previous toss. Rosa gets
- June 2022, AS Statistics, Q7 (10 marks): Each of three students, X, Y and Z, was given an identical pack of 48 cards, of which 12 cards were red and 36 were blue. They were each told to carry out a dif
- November 2021, AS Statistics, Q4 (4 marks): Two random variables X and Y have the distributions B(m, p) and B(n, p) respectively, where p 2 0 . It is known that • E(Y) = 2E(X) • Var(Y) = 1.2E(X). Determin
- November 2020, Statistics, Q4 (7 marks): The random variable X is equally likely to take any of the n integer values from m + to m 1 n + inclusive. It is given that ( E 3 X ) 30 and Var ( 3 X ) 36 . =
- November 2020, AS Statistics, Q2 (8 marks): Every time a spinner is spun, the probability that it shows the number 4 is 0.2, independently of all other spins. (a) A pupil spins the spinner repeatedly unti
- 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 2019, AS Statistics, Q6 (9 marks): A bag contains a mixture of blue and green beads, in unknown proportions. The proportion of green beads in the bag is denoted by p. (a) Sasha selects 10 beads a
- June 2018, AS Statistics, Q6 (5 marks): In this question you must show detailed reasoning. ^ h The random variable T has a binomial distribution. It is known that T E 5 625 . and the standard deviatio
- June 2018, AS Statistics, Q8 (9 marks): The table shows the results of a random sample drawn from a population which is thought to have the distribution U(20). Range 1 x 8 9 x 12 13 x 20 G G G G G G O
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