000001
AQA
AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
S
Forename(s) _________________________________________________________________________
C
Candidate signature _________________________________________________________________________
TI
I declare this is my own work.
A-level
A
EM
FURTHER MATHEMATICS
Paper 3 Statistics
TH
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
A
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
M
l You should have a graphical or scientific calculator that meets the
1
requirements of the specification.
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
ER
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
TH
l Fill in the boxes at the top of this page.
6
l Answer all questions.
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
R
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. 9
FU
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 10
to be marked.
TOTAL
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.
G/LM/Jun24/G4006/V6 7367/3S
Page 1 of 16
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The random variable X has a Poisson distribution with mean 16
Find the standard deviation of X
Circle your answer.
[1 mark]
S
4 8 16 256
C
TI
A
2 The random variable T has an exponential distribution with mean 2
EM
Find P(T ≤ 1.4)
Circle your answer.
TH
[1 mark]
e– 2.8 e– 0.7 1 – e– 0.7 1 – e– 2.8
A
M
ER
TH
R
FU
(02)
G/Jun24/7367/3S
Page 2 of 16
, 000003
3
Do not write
outside the
box
3 The continuous random variable Y has cumulative distribution function
{
0 y<2
F( y ) = – 1 y2 + 10 y – 16 2≤y<5
9 9 9
1 y≥5
Find the median of Y
S
Circle your answer.
[1 mark]
C
10 – 3√ 2 7 10 + 3√ 2
2
2
TI
2 2
A
Turn over for the next question
EM
TH
A
M
ER
TH
R
FU
Turn over U
(03)
G/Jun24/7367/3S
Page 3 of 16
AQA
AQA
Please write clearly in block capitals.
Centre number Candidate number
Surname _________________________________________________________________________
S
Forename(s) _________________________________________________________________________
C
Candidate signature _________________________________________________________________________
TI
I declare this is my own work.
A-level
A
EM
FURTHER MATHEMATICS
Paper 3 Statistics
TH
Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
A
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
M
l You should have a graphical or scientific calculator that meets the
1
requirements of the specification.
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
ER
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
TH
l Fill in the boxes at the top of this page.
6
l Answer all questions.
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
R
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. 9
FU
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 10
to be marked.
TOTAL
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.
G/LM/Jun24/G4006/V6 7367/3S
Page 1 of 16
,000002
2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The random variable X has a Poisson distribution with mean 16
Find the standard deviation of X
Circle your answer.
[1 mark]
S
4 8 16 256
C
TI
A
2 The random variable T has an exponential distribution with mean 2
EM
Find P(T ≤ 1.4)
Circle your answer.
TH
[1 mark]
e– 2.8 e– 0.7 1 – e– 0.7 1 – e– 2.8
A
M
ER
TH
R
FU
(02)
G/Jun24/7367/3S
Page 2 of 16
, 000003
3
Do not write
outside the
box
3 The continuous random variable Y has cumulative distribution function
{
0 y<2
F( y ) = – 1 y2 + 10 y – 16 2≤y<5
9 9 9
1 y≥5
Find the median of Y
S
Circle your answer.
[1 mark]
C
10 – 3√ 2 7 10 + 3√ 2
2
2
TI
2 2
A
Turn over for the next question
EM
TH
A
M
ER
TH
R
FU
Turn over U
(03)
G/Jun24/7367/3S
Page 3 of 16
