plumiDiscrete uniform and binomial in further statistics: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on SA.2 Discrete uniform and binomial in further statistics, 2019–2025, 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 uniform and binomial in further statistics, as a list
- June 2025, Paper 3 Statistics, Q5 (6 marks): The discrete random variable D has a discrete uniform distribution taking values 1, 2, 3, …, n The continuous random variable R has a rectangular distribution t
- June 2025, AS Paper 2 Statistics, Q3 (1 mark): The random variable T has a discrete uniform distribution and takes values 1, 2, 3, …, 17 Find the standard deviation of T Circle your answer. [1 mark] 8√ 3 3 2
- June 2024, Paper 3 Statistics, Q7 (4 marks): The random variable X has a discrete uniform distribution and takes values 1, 2, 3, …, n The random variable Y has probability distribution function P(Y = y) =
- June 2024, AS Paper 2 Statistics, Q5 (6 marks): A spinner has 8 equal areas numbered 1 to 8, as shown in the diagram below. 8 4 2 1 7 3 5 6 The spinner is spun and lands with one of its edges on the ground. 5
- June 2023, Paper 3 Statistics, Q6 (7 marks): A game consists of two rounds. The first round of the game uses a random number generator to output the score X, a real number between 0 and 10 6 (a) Find P(X >
- June 2023, AS Paper 2 Statistics, Q2 (1 mark): The random variable T has a discrete uniform distribution and takes the values 1, 2, 3, 4 and 5 Find the variance of T Circle your answer. [1 mark] 1 5 4 3 2 13
- June 2023, AS Paper 2 Statistics, Q4 (4 marks): The proportion, p, of people in a particular town who use the local supermarket is unknown. A random sample of 30 people in the town is taken and each person is
- June 2022, Paper 3 Statistics, Q1 (1 mark): The random variable T follows a discrete uniform distribution and can take values 1, 2, 3, …, 16 Find the variance of T Circle your answer. [1 mark] 1.25 18.75
- June 2022, AS Paper 2 Statistics, Q5 (11 marks): The continuous random variable X has probability density function f (x) = x3 0 < x × 1 9 1696x3(x2 + 1) 1 < x × 3 0 otherwise 8 > > > < > > > : 5 (a) Find P(X <
- November 2021, Paper 3 Statistics, Q1 (1 mark): The discrete uniform distribution X can take values 1, 2, 3, …, 10 Find P(X − 7) Circle your answer. [1 mark] 0.3 0.4 0.6 0.7
- November 2021, AS Paper 2 Statistics, Q3 (5 marks): The random variable X has a discrete uniform distribution and takes values 1, 2, 3, …, n The mean of X is 8 3 (a) Show that n = 15 [2 marks] 3 (b) Find P(X > 4)
- November 2020, Paper 3 Statistics, Q4 (9 marks): The discrete random variable X follows a discrete uniform distribution and takes values 1, 2, 3, …, n. The discrete random variable Y is defined by Y = 2X 4 (a)
- November 2020, AS Paper 2 Statistics, Q3 (5 marks): The random variable X represents the value on the upper face of an eight-sided dice after it has been rolled. The faces are numbered 1 to 8 The random variable
- June 2019, AS Paper 2 Statistics, Q5 (9 marks): The discrete random variable X has the following probability distribution function P(X = x) = 1 n x = 1, 2, ..., n 0 otherwise 8 > < > : 5 (a) (i) Prove that E(
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