Full Description
Support achievement in the latest syllabus (9709), for examination from 2020, with a stretching, practice-driven approach that builds the advanced skills required for Cambridge exam success and progression to further study.
This new edition is fully aligned with the Probability & Statistics 1 part of the latest International AS & A Level syllabus, and contains a comprehensive mapping grid so you can be sure of complete support.
Get students ready for higher education with a focus on real world application. From parabolic reflectors to technology in sport, up-to-date, international examples show how mathematics is used in real life.
Students have plenty of opportunities to hone their skills with extensive graduated practice and thorough worked examples. Plus, give students realistic practice for their exams with exam-style questions covering every topic.
Answers are included in the back of the book with full step-by-step solutions for all exercises and exam-style questions available on the accompanying support site.
Contents
Syllabus matching grid
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
Review exercise A
Maths in real-life: Seeing the wood and the trees
4 Probability
4.1: Basic concepts and language f probability
4.2: Two (or more) events
4.3: Tree diagrams
4.4: Conditional probability
4.5: Relationships between events
5 Probability distributions and discrete 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 straight line
6.2: Permutations of k objects from distinct objects in a straight 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 sing permutations or combinations
Review exercise B
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
9 The normal distribution
9.1: Continuous probability distributions and the normal distribution
9.2: Standard normal distribution
9.3: Calculating probabilities for the (µ, *s2) distribution
9.4: Using the normal distribution
10 The normal approximation to the binomial distribution
10.1: Normal shape of some binomial distributions
10.2: Continuity correction
10.3: The parameters for the normal approximation
Review exercise C
Maths in real-life: Statistics is definitely not a lonely world
Exam-style paper A
Exam-style paper B
Answers
Data sets
Glossary of terms
Index
