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Please check the examination details below before entering your candidate information
TH
Candidate surname Other names
MA
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Paper
reference 9MA0/31
Mathematics
Advanced
PAPER 31: Statistics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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.
Instructions
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre number
Fill in the boxes at the top of this page with your name,
and candidate number.
• labelled.
Answer all questions and ensure that your answers to parts of questions are clearly
• 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.
• Values from statistical tables should be quoted in full. If a calculator is used instead
of tables the value should be given to an equivalent degree of accuracy.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 50. There are 6 questions.
• –Theusemarks for each question are shown in brackets
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
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)
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