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 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. 9
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 TOTAL
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.
(JUN2273673S01)
PB/Jun22/E5 7367/3S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The random variable T follows a discrete uniform distribution and can take values
1, 2, 3, …, 16
Find the variance of T
Circle your answer.
[1 mark]
1.25 18.75 21.25 21.33
2 The random variable X has probability density function
8
>
> 1 0<x1
>
> 2
<
f (x) ¼ 3 2
x 1<x3
>
> 8 2 2
>
>
:
0 otherwise
Find P(X < 1)
Circle your answer.
[1 mark]
1 3 5 7
8 8 8 8
(02)
Jun22/7367/3S
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