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AQA AS FURTHER MATHEMATICS Paper 2 7366/2S STATISTICS|QUESTIONS & MARKING SCHEME MERGED| GRADED A+

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AS FURTHER MATHEMATICS Paper 2 Statistics Friday 19 May 2023 Afternoon Time allowed: 1 hour 30 minutes Materials l You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics. l You should have a graphical or scientific calculator that meets the requirements of the specification. l 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 l Use black ink or black ball‑point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l 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). l Do not write outside the box around each page or on blank pages. 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 to be marked. Information l The marks for questions are shown in brackets. l The maximum mark for this paper is 40. 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. For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 TOTAL Please write clearly in block capitals. Centre number Candidate number Surname _________________________________________________________________________ Forename(s) _________________________________________________________________________ Candidate signature _________________________________________________________________________ I declare this is my own work. 2 (02) G/Jun23/7366/2S Do not write outside the box There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED 3 Do not write outside the box (03) G/Jun23/7366/2S Turn over U Answer all questions in the spaces provided. 1 The continuous random variable X has variance 9 The discrete random variable Y has standard deviation 2 and is independent of X Find Var(X + Y ) Circle your answer. [1 mark] 5 11 13 85 2 The random variable T has a discrete uniform distribution and takes the values 1, 2, 3, 4 and 5 Find the variance of T Circle your answer. [1 mark] 1 5 4 3 2 13 6 Turn over for the next question 4 Do not write outside the box (04) G/Jun23/7366/2S 3 The discrete random variable X has probability distribution x – 4 3 8 P(X = x) 0.2 0.7 0.1 Show that E(5X – 7) = 3.5 [3 marks] ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ ______________________________________________________________________________________ 5 Do not write outside the box (05) G/Jun23/7366/2S Turn over U 4 The proportion, p, of people in a particular town who use the local supermarket is unknown. A random sample of 30 people in the town is taken and each person is asked if they use the local supermarket. The manager of the supermarket claims that 35% of the people in the town use the local supermarket. The random sample is used to conduct a hypothesis test at the 5% level of significance with the hypotheses H0: p = 0.35 H1: p ≠ 0.35 Show that the probability that a Type I error is made is 0.0356, correct to

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AQA AS FURTHER MATHEMATICS Paper 2 7366/2S ST
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AQA AS FURTHER MATHEMATICS Paper 2 7366/2S ST

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Aantal pagina's
31
Geschreven in
2023/2024
Type
Tentamen (uitwerkingen)
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AQA

AS



FURTHER MATHEMATICS
Paper 2

7366/2S

STATISTICS
MAY 2023




CONTENT ON NEXT PAGE




[MERGED]

, 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 19 May 2023    Afternoon Time allowed: 1 hour 30 minutes
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 graphical or 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
1 hour 30 minutes to complete both papers. 3
Instructions 4
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
5
l Answer all questions.
l 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
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost. 8
l Do all rough work in this book. Cross through any work that you do not want
to be marked. TOTAL

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


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.




(JUN2373662S01)
G/LM/Jun23/E5 7366/2S

, 2
Do not write
outside the
There are no questions printed on this page box




DO NOT WRITE ON THIS PAGE
ANSWER IN THE SPACES PROVIDED




(02)
G/Jun23/7366/2S

, 3
Do not write
outside the
Answer all questions in the spaces provided. box




1 The continuous random variable X has variance 9

The discrete random variable Y has standard deviation 2 and is independent of X

Find Var( X + Y )

Circle your answer.
[1 mark]

5      11      13      85




2 The random variable T has a discrete uniform distribution and takes the
values 1, 2, 3, 4 and 5

Find the variance of T

Circle your answer.
[1 mark]
1 4 13
2
5 3 6




Turn over for the next question




Turn over U


(03)
G/Jun23/7366/2S
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