plumiDiscrete distributions and the binomial: WJEC A‑Level Maths questions
WJEC A-Level Maths past-paper questions on 4.1 Discrete distributions and the binomial, 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 9 questions on Discrete distributions and the binomial, as a list
- Summer 2025, Unit 4, Q2 (12 marks): 2. Selina is sitting two multiple-choice tests. (a) For each question in the first test, she classifies herself as ‘very confident’, ‘confident’ or ‘not confide
- Summer 2025, AS Unit 2, Q2 (4 marks): 2. The probability distribution of a discrete random variable X is given below. x 2 3 4 5 P(X = x) 0·1 0·4 0·3 0·2 Given that X1 and X2 are two independent obse
- Summer 2023, AS Unit 2, Q2 (2 marks): 2 A card is selected at random from a pack of 20 cards numbered 1 to 20. What distribution models the number on the card? Give a reason for your answer. [2]
- Summer 2023, AS Unit 2, Q3 (4 marks): 3 The probability distribution of a discrete random variable X is given below. x 4 8 16 0.3 0.5 0.2 P(X = x) Two independent values of X are generated. Find the
- Summer 2023, AS Unit 2, Q4 (6 marks): 4 Sources of the radioactive element caesium each emit radioactive particles at an average rate of 4 per second. The numbers of emissions are modelled by a Pois
- Summer 2022, AS Unit 2, Q2 (4 marks): 2 The probability distribution for X, the lifetime of a light bulb, in hours, is given below. X 256 X x ! 259 259 X x ! 262 262 X x ! 265 265 X x ! 267 267 X x
- Summer 2019, Unit 4, Q3 (4 marks): 3 At a fairground, Kirsty throws n balls in order to try to knock coconuts off their stands. Any coconuts she knocks off are replaced before she throws again. K
- Summer 2018, AS Unit 2, Q1 (2 marks): The random variable X has the binomial distribution B(16, 0.3). 0 1 Showing your calculation, find P(X = 7). [2]
- Summer 2018, AS Unit 2, Q3 (6 marks): Naomi produces oak tabletops, each of area 4.8 m2. Defects in the oak tabletops occur 0 3 randomly at a rate of 0.25 per m2. a) Find the probability that a rand
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