Exam (elaborations)
Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 3B Further Statistics 1 June 2023
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Pearson Edexcel Level 3 GCE Further Mathematics Advanced PAPER 3B Further Statistics 1 June 2023
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Please check the examination details below before entering yourcandidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Friday 16 June 2023
Afternoon (Time: 1 hour 30
minutes)
reference
Paper
9FM0/3
Further B
Mathematics
Advanced
PAPER 3B: Further
Statistics
You must have: 1 Total
Mathematical Formulae and Statistical Tables Marks
(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
• Use black ink or ball-
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fill
point
in the boxes at the top of this page with
centrepen.
number and candidate
number.all questions and ensure that your answers to parts of questions
• Answer
• your name,
Answer 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.
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.
Informat
ion
•
• AThere
booklet
are ‘Mathematical
7 questions in Formulae
this paper.and
TheStatistical
total mark for this part of the
• examination
The marks foriseach
75. – question
Tables’ is provided.
use this as a shown
are guide as to how much time to spend
on each question.
Advi
in brackets
•
ceRead each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at
question.
the end.
1
,Turn over
, 1. The discrete random variable X has probability distribution
AREA
DO NOT WRITE IN THIS
x –2 –1 0 1 3
P(X = x) 0.25 a b a 0.30
where a and b are probabilities.
(2)
(a) Find E(X)
Given that Var(X) = 3.9
(4)
(b) find the value of a and the value of b
The independent random variables X1 and X2 each have the same distribution as X
(3)
(c) Find P X1 X 2 > 3
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
2
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