Cambridge International AS & A Level Mathematics Probability & Statistics 2
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Description
Contents
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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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