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2023 AQA A-level FURTHER MATHEMATICS 7367/3S Paper 3 Statistics Question Paper
& Mark scheme (Merged) June 2023 [VERIFIED]
A-level
FURTHER MATHEMATICS
Paper 3 Statistics
Wednesday 14 June 2023 afternoon Time allowed: 2 hours
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.
You should have a graphical or scientific calculator that meets the
requirements of the specification. Question Mark
You must ensure you have the other optional Question Paper/Answer 1
Book for which you are entered (either Discrete or Mechanics). You will
have 2 hours to complete both papers. 2
Instructions 3
Use black ink or black ball‑point pen. Pencil should only be used for drawing. Fill in the boxes at the top of this page.
Answer all questions. 4
You must answer each question in the space provided for that question. 5
If you require extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s). 6
Do not write outside the box around each page or on blank pages. 7
Show all necessary working; otherwise marks for method may be lost.
Do all rough work in this book. Cross through any work that you do not want 8
to be marked. TOTAL
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 50.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the
booklet. You do not necessarily need to use all the space provided.
PB/KL/Jun23/E3 7367/3S
, 2
Do not write
outside the
There are no questions printed on this page box
DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED
(02)
Jun23/7367/3S
, 3
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outside the
box
Answer all questions in the spaces provided.
1 The discrete random variable A takes only the values 0, 2 and 4, and has cumulative
distribution function F(a) ¼ P(A a)
a 0 2 4
F(a) 0.2 0.6 1
Find P(A ¼ 2)
Circle your answer.
[1 mark]
0 0.4 0.6 0.8
2 The time, T days, between rain showers in a city in autumn can be modelled by an
exponential distribution with mean 1.25
Find the distribution of the number of rain showers per day in the city.
Tick (3) one box.
[1 mark]
Distribution Mean
Exponential 0.8
Exponential 1.25
Poisson 0.8
Poisson 1.25
Turn over
s
(03)
Jun23/7367/3S
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outside the
3 The masses of tins of a particular brand of spaghetti are normally distributed box
with mean m grams and standard deviation 4.1 grams.
A random sample of 11 tins of spaghetti has a mean mass of 401.8 grams.
Construct a 98% confidence interval for m, giving your values to one decimal place.
[3 marks]
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