plumiFunctions of a continuous random variable: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 4.4 Functions of a continuous random variable, 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 8 questions on Functions of a continuous random variable, as a list
- 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 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, Further Statistics 2, Q8 (12 marks): The continuous random variable X has cumulative distribution function given by F( ) . . . x x x x x x = − − 1 5 0 0 25 1 1 25 1 1 3 3 2 < > (a) Find
- 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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