plumiCombinations of random variables: Edexcel International A Level Further Maths questions
Every Edexcel International A Level Further Maths exam question on S3.1 Combinations of random variables, 2019–2025, with its mark scheme and examiner’s report.
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All 13 questions on Combinations of random variables, as a list
- June 2025, Statistics 3 (S3), Q8 (15 marks): The weights, S kg, of bags of sand are such that S ~ N (18, 0.03 2) Three bags of sand are selected at random. (a) Using standardisation, calculate the probabil
- January 2025, Statistics 3 (S3), Q7 (15 marks): A company sells two types of board, short or long. The weight of a short board, S kg, has distribution N(7.7, 0.01 2) The weight of a long board, L kg, has dist
- June 2024, Statistics 3 (S3), Q6 (16 marks): The weights of bags of carrots, C kg, are such that C ~ N(1.2, 0.03 2) Three bags of carrots are selected at random. (a) Calculate the probability that their to
- January 2024, Statistics 3 (S3), Q7 (14 marks): Small containers and large containers are independently filled with fruit juice. The amounts of fruit juice in small containers are normally distributed with me
- June 2023, Statistics 3 (S3), Q5 (13 marks): The continuous random variable X is normally distributed with X ~ N( μ, 5 2) A random sample of 10 observations of X is taken and X– denotes the sample mean. (a
- June 2023, Statistics 3 (S3), Q7 (10 marks): The random variable X is defined as X = 4A – 3B where A and B are independent and A ~ N(15, 5 2) B ~ N(10, 4 2) (a) Find P(X < 40) The random variable C is such
- January 2023, Statistics 3 (S3), Q7 (8 marks): 7 At a particular supermarket, the times taken to serve each customer in a queue at a standard checkout may be modelled by a normal distribution with mean 240 s
- June 2022, Statistics 3 (S3), Q6 (10 marks): 6 A particular lift has a maximum load capacity of 700 kg. The weights of men are normally distributed with mean 80 kg and standard deviation 10 kg. The weights
- January 2022, Statistics 3 (S3), Q5 (17 marks): Charlie is training for three events: a 1500 m swim, a 40 km bike ride and a 10 km run. From past experience his times, in minutes, for each of the three events
- October 2021, Statistics 3 (S3), Q7 (17 marks): A company produces bricks. The weight of a brick, B kg, is such that B N 1 96 0 003 2 . , . Two bricks are chosen at random. (a) Find the probability that the
- June 2021, Statistics 3 (S3), Q6 (17 marks): A baker produces bread buns and bread rolls. The weights of buns, B grams, and the weights of rolls, R grams, are such that B ~ N(55, 1.3 2) and R ~ N(51, 1.2 2
- January 2021, Statistics 3 (S3), Q6 (18 marks): A potter makes decorative tiles in two colours, red and yellow. The length, R cm, of the red tiles has a normal distribution with mean 15 cm and standard deviat
- October 2020, Statistics 3 (S3), Q7 (16 marks): A company makes cricket balls and tennis balls. The weights of cricket balls, C grams, follow a normal distribution C ~ N(160, 1.252) Three cricket balls are se
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