Edexcel AS and A level Further Mathematics Further Statistics 1
1st Edition
Published on 29. September 2017
224 pages
978-1-292-20733-9 (ISBN)
Description
Exam Board: EdexcelLevel: AS and A levelSubject: Further MathematicsFirst teaching: September 2017First exams: Summer 2018 With over 1.3 million copies sold of the previous edition, Pearsons textbooks are the market-leading and trusted resources for AS and A level Mathematics. Fully updated to match the new specifications, with more of a focus on problem- solving and modelling as well as supporting the large data set and new calculators. FREE additional online content to support independent learning, including full worked solutions for every question in the book (SolutionBank), GeoGebra interactives and support for the new calculators. Includes access to an online digital edition (valid for 3 years once activated). Includes worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises. This book covers all the content needed for the optional Edexcel AS and A level Further Statistics 1 exams.
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Content
- Front Cover
- Contents
- Overarching themes
- Extra online content
- Chapter 1: Discrete random variables
- 1.1: Expected value of a discrete random variable
- 1.2: Variance of a discrete random variable
- 1.3: Expected value and variance of a function of X
- 1.4: Solving problems involving random variables
- Mixed exercise 1
- Summary of key points
- Chapter 2: Poisson distributions
- 2.1: The Poisson distribution
- 2.2: Modelling with the Poisson distribution
- 2.3: Adding Poisson distributions
- 2.4: Mean and variance of a Poisson distribution
- 2.5: Mean and variance of the binomial distribution
- 2.6: Using the Poisson distribution to approximate the binomial distribution
- Mixed exercise 2
- Summary of key points
- Chapter 3: Geometric and negative binomial distributions
- 3.1: The geometric distribution
- 3.2: Mean and variance of a geometric distribution
- 3.3: The negative binomial distribution
- 3.4: Mean and variance of the negative binomial distribution
- Mixed exercise 3
- Summary of key points
- Chapter 4: Hypothesis testing
- 4.1: Testing for the mean of a Poisson distribution
- 4.2: Finding critical regions for a Poisson distribution
- 4.3: Hypothesis testing for the parameter p of a geometric distribution
- 4.4: Finding critical regions for a geometric distribution
- Mixed exercise 4
- Summary of key points
- Chapter 5: Central limit theorem
- 5.1: The central limit theorem
- 5.2: Applying the central limit theorem to other distributions
- Mixed exercise 5
- Summary of key points
- Review exercise 1
- Chapter 6: Chi-squared tests
- 6.1: Goodness of fit
- 6.2: Degrees of freedom and the chi-squared family of distributions
- 6.3: Testing a hypothesis
- 6.4: Testing the goodness of fit with discrete data
- Testing a discrete uniform distribution as a model
- Testing a binomial distribution as a model
- Testing a Poisson distribution as a model
- 6.5: Using contingency tables
- Setting the hypotheses
- Selecting a model
- Degrees of freedom
- 6.6: Apply goodness-of-fit tests to geometric distributions
- Mixed exercise 6
- Summary of key points
- Chapter 7: Probability generating functions
- 7.1: Probability generating functions
- 7.2: Probability generating functions of standard distributions
- 7.3: Mean and variance of a distribution
- 7.4: Sums of independent random variables
- Mixed exercise 7
- Summary of key points
- Chapter 8: Quality of tests
- 8.1: Type I and Type II errors
- 8.2: Finding Type I and Type II errors using the normal distribution
- 8.3: Calculate the size and power of a test
- 8.4: The power function
- Mixed exercise 8
- Summary of key points
- Review exercise 2
- Exam-style practice: AS
- Exam-style practice: A level
- Appendix
- Answers
- Index
