ACTUAL MAY 2024 AQA AS FURTHER MATHEMATICS PAPER 2 7366/2S QUESTION PAPER
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Statistics
Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
⚫ You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. Question Mark
⚫ You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
⚫ 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
1 hour 30 minutes to complete both papers. 3
Instructions 4
⚫ 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.
5
⚫ Answer all questions.
⚫ You must answer each question in the space provided for that question. 6
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). 7
⚫ Do not write outside the box around each page or on blank pages.
⚫ Show all necessary working; otherwise marks for method may be lost. TOTAL
⚫ Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 40.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
G/LM/Jun24/G4001/V6 7366/2S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The discrete random variable X has probability distribution function
{
0.45 x=1
0.25 x=2
P(X = x) = 0.25 x=3
0.05 x=4
0 otherwise
State the mode of X
Circle your answer.
[1 mark]
0.25 0.45 1 2.5
2 A test for association is to be carried out.
The tables below show the observed frequencies and the expected frequencies that
are to be used for the test.
Observed X Y Z Expected X Y Z
A 28 6 66 A 45 15 40
B 8 8 4 B 9 3 8
C 54 16 10 C 36 12 32
It is necessary to merge some rows or columns before the test can be carried out.
Find the entry in the tables that provides evidence for this.
Circle your answer.
[1 mark]
Observed A-Z Observed B-Z Expected A-X Expected B-Y
G/Jun24/7366/2S
, 3
Do not write
outside the
box
3 The random variable X has a normal distribution with known variance 15.7
A random sample of size 120 is taken from X
The sample mean is 68.2
Find a 94% confidence interval for the population mean of X
Give your limits to three significant figures.
[3 marks]
Turn over for the next question
Turn over ▶
G/Jun24/7366/2S
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Statistics
Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
⚫ You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. Question Mark
⚫ You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
⚫ 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
1 hour 30 minutes to complete both papers. 3
Instructions 4
⚫ 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.
5
⚫ Answer all questions.
⚫ You must answer each question in the space provided for that question. 6
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). 7
⚫ Do not write outside the box around each page or on blank pages.
⚫ Show all necessary working; otherwise marks for method may be lost. TOTAL
⚫ Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 40.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
G/LM/Jun24/G4001/V6 7366/2S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The discrete random variable X has probability distribution function
{
0.45 x=1
0.25 x=2
P(X = x) = 0.25 x=3
0.05 x=4
0 otherwise
State the mode of X
Circle your answer.
[1 mark]
0.25 0.45 1 2.5
2 A test for association is to be carried out.
The tables below show the observed frequencies and the expected frequencies that
are to be used for the test.
Observed X Y Z Expected X Y Z
A 28 6 66 A 45 15 40
B 8 8 4 B 9 3 8
C 54 16 10 C 36 12 32
It is necessary to merge some rows or columns before the test can be carried out.
Find the entry in the tables that provides evidence for this.
Circle your answer.
[1 mark]
Observed A-Z Observed B-Z Expected A-X Expected B-Y
G/Jun24/7366/2S
, 3
Do not write
outside the
box
3 The random variable X has a normal distribution with known variance 15.7
A random sample of size 120 is taken from X
The sample mean is 68.2
Find a 94% confidence interval for the population mean of X
Give your limits to three significant figures.
[3 marks]
Turn over for the next question
Turn over ▶
G/Jun24/7366/2S
