Hodder Education
Cambridge International AS & A Level Mathematics Probability & Statistics 2
Sophie Goldie
Science & Math
Cambridge International AS & A Level Mathematics Probability & Statistics 2
US$ 35.99
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Exam board: Cambridge Assessment International Education
Level: A-level
Subject: Mathematics
First teaching: September 2018
First exams: Summer 2020

Endorsed by Cambridge Assessment International Education to provide full support for Paper 6 of the syllabus for examination from 2020.


Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.
- Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points.
- Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking.
- Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.
- Reinforce learning with opportunities for digital practice via links to the Mathematics in Education and Industry's (MEI) Integral platform in the eBook.*

*To have full access to the eBook and Integral resources you must be subscribed to both Boost and Integral. To trial our eBooks and/or subscribe to Boost, visit: www.hoddereducation.com/Boost; to view samples of the Integral resources and/or subscribe to Integral, visit integralmaths.org/international
Please note that the Integral resources have not been through the Cambridge International endorsement process.

This book covers the syllabus content for Probability and Statistics 2, including the Poisson distribution, linear combinations of random variables, continuous random variables, sampling and estimation and hypothesis tests.

Language
English
ISBN
9781510421141
Cover
Title Page
Copyright
Contents
Introduction
How to use this book
The Cambridge International AS & A Level Mathematics 9709 syllabus
1 Sampling
1.1 Terms and notation
1.2 Sampling
1.3 Sampling techniques
2 Continuous random variables
2.1 Probability density function
2.2 Mean and variance
2.3 The median
2.4 The mode
2.5 The uniform (rectangular) distribution
3 Hypothesis testing using the binomial distribution
3.1 Defining terms
3.2 Hypothesis testing checklist
3.3 Choosing the significance level
3.4 Critical values and critical (rejection) regions
3.5 One-tailed and two-tailed tests
3.6 Type I and Type II errors
4 Hypothesis testing and confidence intervals using the normal distribution
4.1 Interpreting sample data using the normal distribution
4.2 The Central Limit Theorem
4.3 Confidence intervals
4.4 How large a sample do you need?
4.5 Confidence intervals for a proportion
5 The Poisson distribution
5.1 The Poisson distribution
5.2 Modelling with a Poisson distribution
5.3 The sum of two or more Poisson distributions
5.4 The Poisson approximation to the binomial distribution
5.5 Using the normal distribution as an approximation for the Poisson distribution
5.6 Hypothesis test for the mean of a Poisson distribution
6 Linear combinations of random variables
6.1 The expectation (mean) of a function of X, E(g[X])
6.2 Expectation: algebraic results
6.3 The sums and differences of independent random variables
6.4 More than two independent random variables
Answers
Index
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