plumiExponential and continuous uniform distributions: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 4.3 Exponential and continuous uniform distributions, 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 10 questions on Exponential and continuous uniform distributions, as a list
- June 2025, Further Statistics 2, Q5 (11 marks): The random variable X ~ U[1, 4] (a) Find (i) P (1.8 < X < 3.2) (ii) P (X > 3.2 | X > 1.8) (3) A random sample of 10 observations of X is taken. The random varia
- June 2025, AS Further Statistics 2, Q2 (9 marks): The graph of the probability density function f(x) of the continuous uniform random variable X is shown below. –4 –3 –2 –1 0.1 0.3 0 1 2 3 4 x f(x) (a) Write do
- June 2024, Further Statistics 2, Q4 (9 marks): The random variable G has a continuous uniform distribution over the interval [– 3, 15] (a) Calculate P(G > 12) (1) The random variable H has a continuous unifo
- June 2023, Further Statistics 2, Q7 (9 marks): The random variable R has a continuous uniform distribution over the interval [2, 10] (a) Write down the probability density function f(r) of R (1) A sphere of
- June 2023, AS Further Statistics 2, Q4 (9 marks): The random variable X has a continuous uniform distribution over the interval [−3, k] Given that P 4 2 1 3 X (a) find the value of k (3) A computer generates
- June 2022, Further Statistics 2, Q7 (7 marks): A rectangle is to have an area of 40 cm2 The length of the rectangle, L cm, follows a continuous uniform distribution over the interval [4, 10] Find the expecte
- June 2022, AS Further Statistics 2, Q5 (9 marks): The random variable X has the continuous uniform distribution over the interval [0.5, 2.5] Talia selects a number, T, at random from the distribution of X (a) F
- November 2020, Further Statistics 2, Q8 (11 marks): 8 A circle, centre O, has radius x cm, where x is an observation from the random variable X which has a rectangular distribution on [0, π] (a) Find the probabil
- June 2019, AS Further Statistics 2, Q4 (10 marks): The random variable X has a continuous uniform distribution over the interval [5, a], where a is a constant. Given that Var(X ) = 27 4 (a) show that a = 14 (3)
- June 2018, AS Further Statistics 2, Q2 (8 marks): The continuous random variable X has probability density function f otherwise ( ) x x = 1 8 1 9 0 (a) Write down the name given to this distribution
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