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Pearson Edexcel ACTUAL SUMMER 2024 8FM0/24 GCE Further Mathematics Advanced Subsidiary Level in Further Statistics 2 Paper 8FM0_24 Question Paper + Mark Scheme$11.49
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Pearson Edexcel ACTUAL SUMMER 2024 8FM0/24 GCE Further Mathematics Advanced Subsidiary Level in Further Statistics 2 Paper 8FM0_24 Question Paper + Mark Scheme
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Course
PEARSON EDEXCEL 2024
Institution
PEARSON EDEXCEL 2024
Pearson Edexcel
ACTUAL SUMMER 2024
8FM0/24
GCE Further Mathematics Advanced
Subsidiary Level
in Further Statistics 2 Paper 8FM0_24
Question Paper + Mark Scheme
GCE Further Mathematics Advanced
Subsidiary Level
in Further Statistics 2 Paper 8FM0_24
Question Paper + Mark Scheme
, surname names
Number Number
Afternoon
Further Mathematics ■ ■
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
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-point pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes
andatcandidate
the top ofnumber.
this page with your name,
•
centre number
•
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
Answer the questions
– there may in thethan
be more space spaces
youprovided
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
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 5 questions.
–The
usemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
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. A continuous random variable X has cumulative distribution function F(x) given by
DO NOT WRITE IN THIS AREA
0 x < −1
1
5 (x + 1) −1
2
x 0
F(x) = 1
1− (4 − x)2 0<x 4
20
1 x>4
(a) Find the probability density function, f(x)
(2)
(b) (i) Sketch f(x)
(2)
(ii) Hence describe the skewness of the distribution.
(1)
(c) Find, to 3 significant figures, the value of c such that
DO NOT WRITE IN THIS AREA
P(1 < X < c) = P(c < X < 2)
(3)
DO NOT WRITE IN THIS AREA
2
■■■■
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