Pearson Edexcel Level 3 GCE Further Mathematics Advanced Subsidiary Further Mathematics options 24: Further Statistics
2 (Part of option G only) QP MAY 2024
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 17 May 2024
Afternoon
Paper
reference 8FM0/24
Further Mathematics 🞍 🞍
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
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
•• 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 of number.
this page with your name,
•
centre number
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the be
questions in the spaces provided
•
– there may 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
••• 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 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
P75674A
©2024 Pearson Education Ltd.
F:1/1/1/
,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
🞍🞍🞍🞍
,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
🞍🞍🞍🞍
Question 1 continued
Turn over
3
2 (Part of option G only) QP MAY 2024
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 17 May 2024
Afternoon
Paper
reference 8FM0/24
Further Mathematics 🞍 🞍
Advanced Subsidiary
Further Mathematics options
24: Further Statistics 2
(Part of option G only)
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
•• 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 of number.
this page with your name,
•
centre number
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the be
questions in the spaces provided
•
– there may 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
••• 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 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
P75674A
©2024 Pearson Education Ltd.
F:1/1/1/
,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
🞍🞍🞍🞍
,
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
🞍🞍🞍🞍
Question 1 continued
Turn over
3
