Pearson Edexcel International Advanced Level Mathematics International Advanced Subsidiary/Advanced Level Statistics S2 QP JUNE
2024 Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Friday 7 June 2024
Afternoon (Time: 1 hour 30 minutes)
Paper
reference WST02/01
Mathematics
🞍 🞍
International Advanced Subsidiary/Advanced Level
Statistics S2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
••• Use black ink or ball‑point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• clearly labelled.
Answer the questions in the spaces provided
•
– there may be more space than you need.
You should show sufficient working to make your methods clear.
• Answers without working may not gain full credit.
Values from the statistical tables should be quoted in full. If a calculator is used instead of
• the tables, the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
••• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
There are 6 questions in this question paper. The total mark for this paper is 75.
The
– usemarks
this asfor eachas
a guide question are shown
to how much in spend
time to brackets
on each question.
Advice
•• Read each question carefully before you start to answer it.
• Try to answer every question.
Check your answers
If you change if youabout
your mind havean
time at the cross
answer, end. it out and put your new answer
and any working underneath. Turn over
,1 A garage sells tyres. The number of customers arriving at the garage to buy tyres in a
10‑minute period is modelled by a Poisson distribution with mean 2
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(a) Find the probability that
(i) fewer than 4 customers arrive to buy tyres in the next 10 minutes,
(ii) more than 5 customers arrive to buy tyres in the next 10 minutes.
(3)
The manager randomly selects 20 non‑overlapping, 30‑minute periods.
(b) Find the probability that there are between 4 and 7 (inclusive) customers arriving to
buy tyres in exactly 15 of these 30‑minute periods.
(4)
The manager believes that placing an advert in the local paper will lead to a significant
increase in the number of customers arriving at the garage.
A week after the advert is placed, the manager randomly selects a 25‑minute period and
finds that 10 customers arrive at the garage to buy tyres.
(c) Test, at the 5% level of significance, whether or not there is evidence to support the
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manager’s belief.
State your hypotheses clearly.
(5)
(d) Explain why the Poisson distribution is unlikely to be valid for the number of tyres
sold during a 10‑minute period.
(1)
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2
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Question 1 continued
Turn over
3
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