AQA-7367-3S-FURTHER MATHEMATICS QUESTION PAPER 3S:Statistics-A LEVEL-7Jun24-PM
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Module
AQA FURTHER MATHEMATICS
Institution
AQA FURTHER MATHEMATICS
AQA-7367-3S-FURTHER MATHEMATICS QUESTION PAPER 3S:Statistics-A LEVEL-7Jun24-PM.
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outside the
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(02) G/Jun24/7367/3S
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 ...
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Forename(s) _________________________________________________________________________
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Candidate signature _________________________________________________________________________
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I declare this is my own work.
A-level
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FURTHER MATHEMATICS
Paper 3 Statistics
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Friday 7 June 2024 Afternoon Time allowed: 2 hours
Materials
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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
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l You should have a graphical or scientific calculator that meets the
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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
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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
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l Fill in the boxes at the top of this page.
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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
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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
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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
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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]
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4 8 16 256
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2 The random variable T has an exponential distribution with mean 2
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Find P(T ≤ 1.4)
Circle your answer.
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[1 mark]
e– 2.8 e– 0.7 1 – e– 0.7 1 – e– 2.8
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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
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Circle your answer.
[1 mark]
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10 – 3√ 2 7 10 + 3√ 2
2
2
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2 2
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Turn over for the next question
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