
Edexcel AS and A level Further Mathematics Further Statistics 1
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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
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