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AS FURTHER MATHEMATICS Paper 2 Statistics

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AS FURTHER MATHEMATICS Paper 2 Statistics Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes Materials  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.  You must ensure you have the other optional Question Paper/Answer Book for which you are entered (either Discrete or Mechanics). You will have 1 hour 30 minutes to complete both papers. Instructions  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.  You must answer each question in the space provided for that question. 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).  Do not write outside the box around each page or on blank pages.  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 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. (JUN2473662S01) G/LM/Jun24/G4001/V6 7366/2S Answer all questions in the spaces provided. 1 The discrete random variable X has probability distribution function box State the mode of X Circle your answer. P(X = x) = 0.45 x = 1 0.25 x = 2 0.25 x = 3 0.05 x = 4 0 otherwise [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. 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 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] box Turn over for the next question Turn over ► 4 The discrete random variable Y has probability distribution y 15 21 36 43 P(Y = y) 0.16 0.32 0.29 0.23 The standard deviation of Y is s 4 (a) Show that s = 10.53 correct to two decimal places. [4 marks] box 4 (b) The median of Y is m Find P(Y m – 1.5 s)

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Paper 2 statistics




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 Questio Mark
Mathematics. n
 You should have a graphical or scientific calculator that 1
meets the requirements of the specification.
 You must ensure you have the other optional Question 2
Paper/Answer Book for which you are entered (either Discrete or
Mechanics). You will have 3
1 hour 30 minutes to complete both papers.
4
Instructions

5
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.
6
 Answer all questions.
 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 TOTAL
answer(s).
 Do not write outside the box around each page or on blank pages.
 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 to be marked.

Information
 The marks for questions are shown in brackets.
 The maximum mark for this paper is 40.


Advice
Paper 2 statistics

,Paper 2 statistics

 Unless stated otherwise, you may quote formulae, without proof, from the booklet.
 You do not necessarily need to use all the space provided.



(JUN2473662S01)
G/LM/Jun24/G4001/V6 7366/2S




Paper 2 statistics

, 2
Do not write
outside the
Answer all questions in the spaces provided. box




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

State the mode otherwise
of X

Circle your [1 mark]
answer.

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




(02
) G/
Jun24/7366/2S

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