Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Tuesday 25 June 2019
Morning (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 the 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).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• clearly labelled.
Answer all questions and ensure that your answers to parts of questions are
• 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, statistical tests should be carried out at the
5% significance level.
• When a calculator is used, the answer should be given to three significant
figures unless otherwise stated.
Information
•• AThere
booklet ‘Statistical Formulae and Tables’ is provided.
are 7 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
P61176A
©2019 Pearson Education Ltd.
1/1/1/1/1/1/
*P61176A0124*
, Answer ALL questions. Write your answers in the spaces provided.
1 A group of eggs in a bird’s nest is called a clutch. The number of eggs in a clutch is
DO NOT WRITE IN THIS AREA
called the clutch size.
Stéphanie is studying the size of tree swallow clutches in southern Québec, Canada. She
surveys a large number of occupied nest boxes and records the sizes of the clutches. She
calculates the probability that each clutch size occurs using her data.
Stéphanie’s results are shown in Figure 1.
Clutch size x P(X = x)
0 0
1 0
2 0.006
3 0.02
4 0.096
DO NOT WRITE IN THIS AREA
5 0.377
6 0.417
7 0.073
8 0.011
0
Source: Adapted from https://doi.org/10.1111/jav.00725
Figure 1: Probabilities of tree swallow clutch sizes
(a) Find the probability that a tree swallow clutch, chosen at random, contains more than
6 eggs.
(1)
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_____________________________________________________________________________________
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_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P61176A0224*
, (b) Calculate the probability that if 3 tree swallow clutches are chosen at random, none
of them contains more than 6 eggs.
(2)
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(c) Find the mode, median and mean number of eggs in a tree swallow clutch.
(5)
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
3
*P61176A0324* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Tuesday 25 June 2019
Morning (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 the 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).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• clearly labelled.
Answer all questions and ensure that your answers to parts of questions are
• 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, statistical tests should be carried out at the
5% significance level.
• When a calculator is used, the answer should be given to three significant
figures unless otherwise stated.
Information
•• AThere
booklet ‘Statistical Formulae and Tables’ is provided.
are 7 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
P61176A
©2019 Pearson Education Ltd.
1/1/1/1/1/1/
*P61176A0124*
, Answer ALL questions. Write your answers in the spaces provided.
1 A group of eggs in a bird’s nest is called a clutch. The number of eggs in a clutch is
DO NOT WRITE IN THIS AREA
called the clutch size.
Stéphanie is studying the size of tree swallow clutches in southern Québec, Canada. She
surveys a large number of occupied nest boxes and records the sizes of the clutches. She
calculates the probability that each clutch size occurs using her data.
Stéphanie’s results are shown in Figure 1.
Clutch size x P(X = x)
0 0
1 0
2 0.006
3 0.02
4 0.096
DO NOT WRITE IN THIS AREA
5 0.377
6 0.417
7 0.073
8 0.011
0
Source: Adapted from https://doi.org/10.1111/jav.00725
Figure 1: Probabilities of tree swallow clutch sizes
(a) Find the probability that a tree swallow clutch, chosen at random, contains more than
6 eggs.
(1)
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P61176A0224*
, (b) Calculate the probability that if 3 tree swallow clutches are chosen at random, none
of them contains more than 6 eggs.
(2)
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(c) Find the mode, median and mean number of eggs in a tree swallow clutch.
(5)
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
3
*P61176A0324* Turn over
