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Pearson Edexcel Level 3 GCE Advanced PAPER 3 Statistics in Practice June 2023
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Pearson Edexcel Level 3 GCE Advanced PAPER 3 Statistics in Practice June 2023
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kPlease 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
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regulations. Calculators must not have retrievable
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• Fill in the boxes at the top of this page with
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• Answer
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Unless otherwise stated, inexact answers should be given to three
• Unless otherwise stated, statistical tests should be carried out at the 5% significance
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• 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
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, 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)
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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
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(2)
DO NOT WRITE IN THIS
(Total for Question 1 is 10 marks)
AREA
3
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over
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