Complete Probability & Statistics 1 for Cambridge International AS & A Level

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Description

Contents

Reviews

Language

English

ISBN

9780198427612

Front Cover

IFC

Title Page

Contents

Introduction

1 Introduction to statistical thinking

1.1 What is statistics and why is it important?

1.2 Types of data

2 Measures of location and spread

2.1 Averages

2.2 Quartiles and the interquartile range

2.3 Variance and standard deviation

2.4 Which average should you use?

2.5 Coding

3 Representing and analysing data

3.1 Stem-and-leaf diagrams

3.2 Box-and-whisker plots

3.3 Histograms

3.4 Cumulative frequency graphs

3.5 Skewness

3.6 Comparing distributions

Maths in real-life: Seeing the wood and the trees

4 Probability

4.1 Basic concepts and language of probability

4.2 Two (or more) events

4.3 Tree diagrams

4.4 Conditional probability

4.5 Relationships between events

5 Probability distributions anddiscrete random variables

5.1 Discrete random variables

5.2 The probability function, p(x)

5.3 Expectation of a discrete random variable

5.4 The variance of a discrete random variable

6 Permutations and combinations

6.1 Permutations of n distinct objects in a line

6.2 Permutations of k objects from n distinct objectsin a line

6.3 Allowing constraints on permutations (for n distinct objects)

6.4 Permutations when some objects are not distinguishable

6.5 Combinations

6.6 Evaluate probabilities by calculation using permutationsor combinations

Maths in real-life: Sporting statistics

7 The binomial distribution

7.1 Introducing the binomial distribution

7.2 Mean and variance of the binomial distribution

7.3 Modelling with the binomial distribution

8 The geometric distribution

8.1 Introducing the geometric distribution

8.2 The mean of the geometric distribution

8.3 Modelling with the geometric distribution

9 The normal distribution

9.1 Continuous probability distributions andthe normal distribution

9.2 Standard normal distribution

9.3 Calculating probabilities for the N(μ, σ2) distribution

9.4 Modelling with the normal distribution

10 The normal approximation tothe binomial distribution

10.1 Normal shape of some binomial distributions

10.2 Continuity correction

10.3 The parameters for the normal approximation

Maths in real-life: Statistics is definitely not a lonely world

Exam-style paper A

Exam-style paper B

Answers

Data sets

Glossary

Index

Back Cover

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