plumiCombinations of random variables: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FS.6 Combinations of random variables, 2018–2025, with its mark scheme and examiner’s report.
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![June 2019 Statistics Minor, question 6: The discrete random variable X has a uniform distribution over { , n n 1 , ..., 2 n } . + 3 (a) Given that n is odd, find ( P X 1 n ) . [1] 2 3 (b) Given instea](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/y43201-jun19-06-qp.webp?v=3)
All 20 questions on Combinations of random variables, as a list
- June 2025, Statistics Major, Q2 (8 marks): At a toy factory, wooden blocks of approximate heights 20 mm, 30 mm and 50 mm are made in red, yellow and green respectively. The heights of the blocks in mm ar
- June 2025, Statistics Minor, Q7 (12 marks): The probability function of the discrete random variable, X, is shown in the table. You are given that a, b and c are constants. x –1 0 1 P X ( x ) = a b c (a)
- June 2024, Statistics Major, Q3 (8 marks): At a launderette the process of cleaning a load of clothes consists of three stages: washing, drying and folding. The times in minutes for each process are mode
- June 2024, Statistics Major, Q10 (9 marks): Ben takes an underground train to work and back home each day. The waiting time is defined as the time from when he reaches the station platform until he boards
- June 2023, Statistics Major, Q4 (11 marks): A machine manufactures batches of 100 titanium sheets. The thickness of every sheet in a batch is Normally distributed with mean n mm and standard deviation 0.0
- June 2023, Statistics Minor, Q3 (10 marks): A fair four-sided dice has its faces numbered 0, 1, 2, 3. The dice is rolled three times. The discrete random variable X is the sum of the lowest and highest sc
- June 2023, Statistics Minor, Q7 (6 marks): The discrete random variable X has a uniform distribution over the set of all integers between 100 and n inclusive, where n is a positive integer with n 2 100.
- June 2022, Statistics Major, Q2 (7 marks): A manufacturer is testing how long coloured LED lights will last before the battery runs out, using two different battery types. The times in hours before the b
- June 2022, AS Statistics B, Q6 (9 marks): The length L of a particular type of fence panel is Normally distributed with mean 179.2 cm and standard deviation 0.8 cm. You should assume that the lengths of
- November 2021, Statistics Major, Q5 (17 marks): A manufacturer uses three types of capacitor in a particular electronic device. The capacitances, measured in suitable units, are modelled by independent Normal
- November 2021, Statistics Major, Q9 (6 marks): The discrete random variable X has a uniform distribution over the set of all integers between -n and n inclusive, where n is a positive integer. 1 (a) Given th
- November 2021, Statistics Major, Q10 (9 marks): Sarah takes a bus to work each weekday morning and returns each evening. The times in minutes that she has to wait for the bus in the morning and evening are mo
- November 2021, AS Statistics B, Q2 (10 marks): Natasha is investigating binomial distributions. She constructs the spreadsheet in Fig. 2 which shows the first 3 and last 4 rows of a simulation involving two
- November 2021, AS Statistics B, Q5 (9 marks): A food company makes mini apple pies. The weight of pastry in a pie is Normally distributed with mean 75 g and standard deviation 4 g. The weight of filling in
- November 2020, Statistics Major, Q3 (8 marks): A supermarket sells cashew nuts in three different sizes of bag: small, medium and large. The weights in grams of the nuts in each type of bag are modelled by i
- November 2020, Statistics Major, Q10 (12 marks): The discrete random variables X and Y have distributions as follows: X + B(20, 0.3) and Y + Po(3). The spreadsheet in Fig. 10 shows a simulation of the distribu
- June 2019, Statistics Major, Q3 (9 marks): The weights of bananas sold by a supermarket are modelled by a Normal distribution with mean 205 g and standard deviation 11 g. (a) Find the probability that th
- June 2019, Statistics Minor, Q6 (7 marks): The discrete random variable X has a uniform distribution over { , n n 1 , ..., 2 n } . + 3 (a) Given that n is odd, find ( P X 1 n ) . [1] 2 3 (b) Given instea
- June 2019, AS Statistics B, Q3 (9 marks): A bus runs from point A on the outskirts of a city, stops at point B outside the rail station, and continues to point C in the city centre. The journey times fo
- June 2018, AS Statistics B, Q2 (9 marks): A supermarket sells oranges. Their weights are modelled by the random variable X which has a Normal distribution with mean 345 grams and standard deviation 15 g
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