plumiProbability generating functions: Edexcel A‑Level Further Maths questions
Every Edexcel A-Level Further Maths exam question on FS.3 Probability generating functions, 2018–2025, with its mark scheme and examiner’s report.
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All 7 questions on Probability generating functions, as a list
- June 2025, Further Statistics 1, Q4 (10 marks): The discrete random variable X has probability generating function GX (t ) = 1 2 1 5 t – k where k is a constant. (a) Find the exact value of k (2) (b) Fi
- June 2024, Further Statistics 1, Q6 (16 marks): The random variable X has probability generating function GX(t) where GX(t) = 1 4 3 −t (a) Use calculus to find Var(X ) Show your working clearly. (6) (b) Find
- June 2023, Further Statistics 1, Q6 (13 marks): The discrete random variable X has probability generating function G X t t t ( ) 2 2 3 2 (a) Specify the distribution of X (2) A fair die is rolled repeatedly.
- June 2022, Further Statistics 1, Q6 (14 marks): The discrete random variable V has probability distribution v 2 3 4 P(V = v) 9 25 12 25 4 25 (a) Show that the probability generating function of V is GV(t) = t
- November 2021, Further Statistics 1, Q6 (14 marks): The probability generating function of the random variable X is GX(t) = k(1 + 2t)5 where k is a constant. (a) Show that k = 1 243 (2) (b) Find P(X = 2) (2) (c)
- November 2020, Further Statistics 1, Q6 (13 marks): A discrete random variable X has probability generating function given by GX(t) = 1 64 (a + bt2)2 where a and b are positive constants. (a) Write down the value
- June 2019, Further Statistics 1, Q6 (12 marks): The discrete random variable X has probability generating function GX(t) = k ln 2 2 − ⎛ ⎝⎜ ⎞ ⎠⎟t where k is a constant. (a) Find the exact value of k (1) (b) Fi
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