BESTLEC
surname names
Number Number
Paper
⯁ ⯁
Mathematics
Advanced
PAPER 31: Statistics
C
LE
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
ST
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
BE
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Values
Answers without working may not gain full credit.
from statistical tables should be quoted in full. If a calculator is used instead
• Inexact answers should be given to three significant figures unless otherwise stated.
of tables the value should be given to an equivalent degree of accuracy.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
total mark for this part of the examination is 50. There are 6 questions.
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. Turn over
P72130A
©2022 Pearson Education Ltd.
Q:1/1/1/1/
,1. George throws a ball at a target 15 times.
Each time George throws the ball, the probability of the ball hitting the target is 0.48
The random variable X represents the number of times George hits the target in
15 throws.
(a) Find
(i) P(X = 3)
(ii) P(X 5)
(3)
George now throws the ball at the target 250 times.
(b) Use a normal approximation to calculate the probability that he will hit the target
more than 110 times.
(3)
C
LE
ST
BE
2
■■■■
, Question 1 continued
C
LE
ST
BE
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
surname names
Number Number
Paper
⯁ ⯁
Mathematics
Advanced
PAPER 31: Statistics
C
LE
Candidates may use any calculator allowed by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
ST
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
BE
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Values
Answers without working may not gain full credit.
from statistical tables should be quoted in full. If a calculator is used instead
• Inexact answers should be given to three significant figures unless otherwise stated.
of tables the value should be given to an equivalent degree of accuracy.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
total mark for this part of the examination is 50. There are 6 questions.
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. Turn over
P72130A
©2022 Pearson Education Ltd.
Q:1/1/1/1/
,1. George throws a ball at a target 15 times.
Each time George throws the ball, the probability of the ball hitting the target is 0.48
The random variable X represents the number of times George hits the target in
15 throws.
(a) Find
(i) P(X = 3)
(ii) P(X 5)
(3)
George now throws the ball at the target 250 times.
(b) Use a normal approximation to calculate the probability that he will hit the target
more than 110 times.
(3)
C
LE
ST
BE
2
■■■■
, Question 1 continued
C
LE
ST
BE
(Total for Question 1 is 6 marks)
3
■■■■ Turn over
