plumiFunctions of a continuous random variable: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on SD.3 Functions of a continuous random variable, 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 4 questions on Functions of a continuous random variable, as a list
- 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, AS Paper 2 Statistics, Q6 (11 marks): The continuous random variable X has probability density function f (x) = 1 114 (4x + 7) 0 × x × 6 0 otherwise 8 < : 6 (a) Show that the median of X is 3.87, co
- November 2020, Paper 3 Statistics, Q9 (6 marks): The continuous random variable X has the cumulative distribution function shown below. F(x) = 0 x < 0 1 62 (4x3 + 6x2 + 3x) 0 − x − 2 1 x > 2 8 > > > > < > > >
- June 2019, AS Paper 2 Statistics, Q4 (8 marks): The continuous random variable X has probability density function f (x) = 4 99(12x − x2 − x3) 0 × x × 3 0 otherwise 8 < : 4 (a) Find P(X > 1) [3 marks] 4 (b) Sh
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