AQA QP 2023 A-level FURTHER MATHEMATICS Paper 3 (7367/3S)
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Statistics
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for A‑level
Mathematics and A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question Paper/Answer Book 2
for which you are entered (either Discrete or Mechanics). You will have
2 hours to complete both papers. 3
4
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
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). 8
l Do not write outside the box around each page or on blank pages. TOTAL
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l 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
Do not write
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
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Statistics
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for A‑level
Mathematics and A‑level Further Mathematics. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question Paper/Answer Book 2
for which you are entered (either Discrete or Mechanics). You will have
2 hours to complete both papers. 3
4
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
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). 8
l Do not write outside the box around each page or on blank pages. TOTAL
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l 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
Do not write
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
