plumiStatistical distributions: Edexcel A‑Level Maths questions
Every Edexcel A-Level Maths exam question on S.4 Statistical distributions, 2019–2025, with its mark scheme and examiner’s report.
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All 29 questions on Statistical distributions, as a list
- June 2025, Statistics, Q3 (6 marks): A manufacturer makes components for the car industry. On average 1.5% of the components made are defective. (a) Using a suitable model, find the probability tha
- June 2025, Statistics, Q5 (10 marks): The heights of men in a tennis club are normally distributed with a mean of 183 cm and a standard deviation of 4.9 cm. A man from the tennis club is selected at
- June 2025, Statistics, Q6 (11 marks): The discrete random variable R takes even integer values from 2 to 2n inclusive. The probability distribution of R is given by P 2, 4, 6, … , 2 r R r r n k wher
- June 2025, AS Statistics, Q1 (3 marks): The random variable X ~ B(20, 0.37) (a) Find P(X = 8) (1) (b) Find P(X 5) (1) (c) Find P(X 5.7) (1)
- June 2025, AS Statistics, Q3 (9 marks): A bag contains red counters, green counters and white counters only. The table shows the proportion of each colour of counter that Elsa believes to be in the ba
- June 2024, Statistics, Q1 (11 marks): Xian rolls a fair die 10 times. The random variable X represents the number of times the die lands on a six. (a) Using a suitable distribution for X, find (i) P
- June 2024, Statistics, Q3 (6 marks): Ming is studying the large data set for Perth in 2015 He intended to use all the data available to find summary statistics for the Daily Mean Air Temperature, x
- June 2024, Statistics, Q5 (10 marks): The records for a school athletics club show that the height, H metres, achieved by students in the high jump is normally distributed with mean 1.4 metres and s
- June 2024, AS Statistics, Q4 (8 marks): The random variable X ~ B(27, 0.35) (a) Find (i) P(X = 10) (ii) P(12 X < 15) (3) Historical records show that the proportion of defective items produced by a
- June 2024, AS Statistics, Q5 (8 marks): A biased 4-sided spinner has the numbers 6, 7, 8 and 10 on it. The discrete random variable X represents the score when the spinner is spun once and has the fol
- June 2023, Statistics, Q2 (9 marks): A machine fills packets with sweets and 1 7 of the packets also contain a prize. The packets of sweets are placed in boxes before being delivered to shops. Ther
- June 2023, Statistics, Q4 (6 marks): A study was made of adult men from region A of a country. It was found that their heights were normally distributed with a mean of 175.4 cm and standard deviati
- June 2023, Statistics, Q5 (8 marks): Tisam is playing a game. She uses a ball, a cup and a spinner. The random variable X represents the number the spinner lands on when it is spun. The probability
- June 2023, Statistics, Q6 (14 marks): A medical researcher is studying the number of hours, T, a patient stays in hospital following a particular operation. The histogram on the page opposite summar
- June 2023, AS Statistics, Q5 (8 marks): Julia selects 3 letters at random, one at a time without replacement, from the word V A R I A N C E The discrete random variable X represents the number of time
- June 2022, Statistics, Q1 (6 marks): George throws a ball at a target 15 times. Each time George throws the ball, the probability of the ball hitting the target is 0.48 The random variable X repres
- June 2022, Statistics, Q2 (12 marks): A manufacturer uses a machine to make metal rods. The length of a metal rod, L cm, is normally distributed with • a mean of 8 cm • a standard deviation of x cm
- June 2022, Statistics, Q3 (7 marks): Dian uses the large data set to investigate the Daily Total Rainfall, r mm, for Camborne. (a) Write down how a value of 0 < r 0.05 is recorded in the large da
- June 2022, AS Statistics, Q2 (7 marks): A manufacturer of sweets knows that 8% of the bags of sugar delivered from supplier A will be damp. A random sample of 35 bags of sugar is taken from supplier A
- June 2022, AS Statistics, Q5 (8 marks): Manon has two biased spinners, one red and one green. The random variable R represents the score when the red spinner is spun. The random variable G represents
- November 2021, Statistics, Q1 (7 marks): (a) State one disadvantage of using quota sampling compared with simple random sampling. (1) In a university 8% of students are members of the university dance
- November 2021, Statistics, Q5 (11 marks): The heights of females from a country are normally distributed with • a mean of 166.5 cm • a standard deviation of 6.1 cm Given that 1% of females from this cou
- November 2021, Statistics, Q6 (7 marks): The discrete random variable X has the following probability distribution x a b c P(X = x) log36 a log36 b log36 c where • a, b and c are distinct integers (a <
- November 2021, AS Statistics, Q4 (10 marks): A nursery has a sack containing a large number of coloured beads of which 14% are coloured red. Aliya takes a random sample of 18 beads from the sack to make a
- November 2020, Statistics, Q4 (10 marks): The discrete random variable D has the following probability distribution d 10 20 30 40 50 P (D = d ) k 10 k 20 k 30 k 40 k 50 where k is a constant. (a) Show t
- November 2020, Statistics, Q5 (15 marks): A health centre claims that the time a doctor spends with a patient can be modelled by a normal distribution with a mean of 10 minutes and a standard deviation
- November 2020, AS Statistics, Q3 (6 marks): In a game, a player can score 0, 1, 2, 3 or 4 points each time the game is played. The random variable S, representing the player’s score, has the following pro
- November 2020, AS Statistics, Q5 (8 marks): Afrika works in a call centre. She assumes that calls are independent and knows, from past experience, that on each sales call that she makes there is a probabi
- June 2019, AS Statistics, Q3 (6 marks): A fair 5-sided spinner has sides numbered 1, 2, 3, 4 and 5 The spinner is spun once and the score of the side it lands on is recorded. (a) Write down the name o
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