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 12 January 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
•Information
tables, the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 7 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
•• Try to answer every question.
Check your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer and any
working underneath. Turn over
,1. The manager of a supermarket is investigating the number of complaints per day
received from customers.
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A random sample of 180 days is taken and the results are shown in the table below.
Number of complaints per day 0 1 2 3 4 5 6 7
Frequency 12 28 37 38 29 17 19 0
(a) Calculate the mean and the variance of these data.
(3)
(b) Explain why the results in part (a) suggest that a Poisson distribution may be a
suitable model for the number of complaints per day.
(1)
The manager uses a Poisson distribution with mean 3 to model the number of
complaints per day.
(c) For a randomly selected day find, using the manager’s model, the probability that
there are
(i) at least 3 complaints,
(ii) more than 4 complaints but less than 8 complaints.
(4)
A week consists of 7 consecutive days.
(d) Using the manager’s model and a suitable approximation, show that the probability
that there are less than 19 complaints in a randomly selected week is 0.29 to
2 decimal places.
Show your working clearly.
(Solutions relying on calculator technology are not acceptable.)
(5)
A period of 13 weeks is selected at random.
(e) Find the probability that in this period there are exactly 5 weeks that have
less than 19 complaints.
Show your working clearly.
(3)
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