k
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Wednesday 21 June
Afternoon (Time: 2
2023
hours) referen 9ST0/0
ce
Statistics Paper 3
Advanced
PAPER 3: Statistics in
Practice
You must have: Total
Statistical formulae and tables Marks
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-
• 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
centre number and candidate
point pen.
• Answer
number.all questions and ensure that your answers to parts of questions
• your
Answername,
thelabelled.
are clearly questions in themay
– there spaces
be more space than you need.
• You should show sufficient working to make your methods clear.
Answers
provided without working may not gain
• full credit.
Unless otherwise stated, inexact answers should be given to three
• Unless otherwise stated, statistical tests should be carried out at the 5% significance
Informat
level.
significant figures.
• A booklet ‘Statistical formulae and tables’ is
ion
• There are 6 questions in this question paper. The total mark for
• provided.
The marks is
this paper for80.
each question
– use are
this as a shown
guide as to how much time to
spend on each question.
in brackets
Advice
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time
• If you change your mind about an answer, cross it out and put your new answer
and any working
question.
at the end.
underneath. Turn over
, 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
AREA
DO NOT WRITE IN THIS
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)
AREA
DO NOT WRITE IN THIS
(b) Show the expected yield from mining one block of coal is 2.2 pieces of coal.
(1)
AREA
DO NOT WRITE IN THIS
(c) Find the variance of the yield from mining one block of coal.
(1)
2
, Question 1 continued
(d) Find the probability that the yield of a block is one piece of coal, given that the
DO NOT WRITE IN THIS
yield was an odd number of pieces of coal.
(2)
AREA
(e) State the central limit theorem.
(3)
DO NOT WRITE IN THIS
(f) Estimate the probability that, when 60 blocks of coal are mined, the average yield
per block is more than 2.25
AREA
(2)
DO NOT WRITE IN THIS
(Total for Question 1 is 10 marks)
AREA
3
Turn
over
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Wednesday 21 June
Afternoon (Time: 2
2023
hours) referen 9ST0/0
ce
Statistics Paper 3
Advanced
PAPER 3: Statistics in
Practice
You must have: Total
Statistical formulae and tables Marks
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-
• 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
centre number and candidate
point pen.
• Answer
number.all questions and ensure that your answers to parts of questions
• your
Answername,
thelabelled.
are clearly questions in themay
– there spaces
be more space than you need.
• You should show sufficient working to make your methods clear.
Answers
provided without working may not gain
• full credit.
Unless otherwise stated, inexact answers should be given to three
• Unless otherwise stated, statistical tests should be carried out at the 5% significance
Informat
level.
significant figures.
• A booklet ‘Statistical formulae and tables’ is
ion
• There are 6 questions in this question paper. The total mark for
• provided.
The marks is
this paper for80.
each question
– use are
this as a shown
guide as to how much time to
spend on each question.
in brackets
Advice
• Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time
• If you change your mind about an answer, cross it out and put your new answer
and any working
question.
at the end.
underneath. Turn over
, 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
AREA
DO NOT WRITE IN THIS
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)
AREA
DO NOT WRITE IN THIS
(b) Show the expected yield from mining one block of coal is 2.2 pieces of coal.
(1)
AREA
DO NOT WRITE IN THIS
(c) Find the variance of the yield from mining one block of coal.
(1)
2
, Question 1 continued
(d) Find the probability that the yield of a block is one piece of coal, given that the
DO NOT WRITE IN THIS
yield was an odd number of pieces of coal.
(2)
AREA
(e) State the central limit theorem.
(3)
DO NOT WRITE IN THIS
(f) Estimate the probability that, when 60 blocks of coal are mined, the average yield
per block is more than 2.25
AREA
(2)
DO NOT WRITE IN THIS
(Total for Question 1 is 10 marks)
AREA
3
Turn
over
