EDEXCEL A LEVEL JUNE 2023 STATISTICS 9ST0 QUESTION PAPER 3

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EDEXCEL 2023 papers AND markschemes

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, Please check the examination details below before entering your candidate information
Candidate surname Other names


Centre Number Candidate Number




Pearson Edexcel Level 3 GCE
Wednesday 21 June 2023
Afternoon (Time: 2 hours) Paper
reference 9ST0/03
Statistics
 


Advanced
PAPER 3: Statistics in Practice

You must have: Total Marks
Statistical formulae and tables booklet
Calculator

Candidates may use any calculator allowed by Pearson regulations.
Calculators must not 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.
Unless otherwise stated, inexact answers should be given to three significant figures.
Unless otherwise stated, statistical tests should be carried out at the 5% significance level.
Information
•• A booklet ‘Statistical formulae and tables’ is provided.

•
There are 6 questions in this question paper. The total mark for this paper is 80.
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


P72911A
©2023 Pearson Education Ltd.
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*P72911A0124*

, Answer ALL questions. Write your answers in the spaces provided.
1 In a video game you can mine blocks of coal. The yield of a block, when mined, is




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determined randomly.
Mining a block of coal yields different numbers of pieces of coal, which follow the
distribution shown in Figure 1.

The probabilities, p, of yielding 2, 3 or 4 pieces are equal.



Pieces of coal 1 2 3 4

Probability 0.4 p p p

[Source: https://minecraft.fandom.com/wiki/Fortune]

Figure 1
(a) Find the value of p
(1)
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(b) Show the expected yield from mining one block of coal is 2.2 pieces of coal.
(1)
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(c) Find the variance of the yield from mining one block of coal.
(1)
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*P72911A0224* 