Complete Probability & Statistics 1 for Cambridge International AS & A Level
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Product details:
- Edition number 2
- Publisher OUP Oxford
- Date of Publication 12 July 2018
- ISBN 9780198425151
- Binding Unidentified
- No. of pages224 pages
- Size 247x190x11 mm
- Weight 499 g
- Language English 0
Categories
Short description:
Providing complete syllabus support (9709), this stretching and practice-focused course builds the advanced skills needed for the latest Cambridge assessments and the transition to higher education. Engaging, real world examples make mathematics relevant to real life.
MoreLong 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.
Table of Contents:
Syllabus matching grid
1 Introduction to statistical thinking
What is statistics and why is it important?
Types of data
2 Measures of location and spread
Averages
Quartiles and the interquartile range
Variance and standard deviation
Which average should you use?
Coding
3 Representing and analysing data
Stem-and-leaf diagrams
Box-and-whisker plots
Histograms
Cumulative frequency graphs
Skewness
Comparing distributions
Review exercise A
Maths in real-life: Seeing the wood and the trees
4 Probability
Basic concepts and language f probability
Two (or more) events
Tree diagrams
Conditional probability
Relationships between events
5 Probability distributions and discrete random variables
Discrete random variables
The probability function, p(x)
Expectation of a discrete random variable
The variance of a discrete random variable
6 Permutations and combinations
Permutations of n distinct objects in a straight line
Permutations of k objects from distinct objects in a straight line
Allowing constraints on permutations (for n distinct objects)
Permutations when some objects are not distinguishable
Combinations
Evaluate probabilities by calculation sing permutations or combinations
Review exercise B
Maths in real-life: Sporting statistics
7 The binomial distribution
Introducing the binomial distribution
Mean and variance of the binomial distribution
Modelling with the binomial distribution
8 The geometric distribution
Introducing the geometric distribution
The mean of the geometric distribution
9 The normal distribution
Continuous probability distributions and the normal distribution
Standard normal distribution
Calculating probabilities for the (µ, *s2) distribution
Using the normal distribution
10 The normal approximation to the binomial distribution
Normal shape of some binomial distributions
Continuity correction
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
