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Statistics (Cambridge International as and a Level Mathematics)

Sophie Goldie

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ISBN 10: 1444146505 / ISBN 13: 9781444146509
Editorial: Hodder Education/Viva Books Private Limited, 2015
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Description: ENDORSED BY CAMBRIDGE INTERNATIONAL EXAMINATION This book is one of a series which has been especially written for the University of Cambridge International Examinations syllabus for International AS and A Level Mathematics (9709). Together the books cover all the modules and give full coverage of the Mathematics syllabus. There are clear explanations and worked examples for each new topic. The activities, investigations and graded exercises provide plenty of practice. Statistics covers the requirements of Sl and S2. Sl includes representation and interpretation of data, probability, discrete random variables, permutations and combinations, the binomial distribution and the normal distribution. S2 covers hypothesis testing, the Poisson distribution, continuous random variables, linear combinations of random variables, sampling and estimation. There is a disc included with each book. The discs contain Test Yourself interactive multiple-choice questions, and Personal Tutor audio-visual step-by-step worked examples of exam-style questions to support Sl. The authors are experienced examiners and teachers who have written extensively at this level. ? Endorsed by University of Cambridge International Examinations for this syllabus ? Series covers all modules: Pure Mathematics, Statistics and Mechanics ? Authors are experienced writers, examiners and teachers ? Revision and Practice disc included in every book Contents: Key to symbols in this book ? Introduction ? The Cambridge International AS and A Level Mathematics syllabus S 1 Statistics 1 Chapter 1: Exploring data Looking at the data ? Stem-and-Ieaf diagrams ? Categorical or qualitative data ? Numerical or quantitative data ? Measures of central tendency ? Frequency distributions ? Grouped data ? Measures of spread (variation) ? Working with an assumed mean Chapter 2: Representing and interpreting data Histograms ? Measures of central tendency and of spread using quartiles ? Cumulative frequency curves Chapter 3: Probability Measuring probability ? Estimating probability ? Expectation ? The probability of either one event or another ? Independent and dependent events ? Conditional probability Chapter 4: Discrete random variables Discrete random variables ? Expectation and variance Chapter 5: Permutations and Combinations Factorials ? Permutations ? Combinations ? The binomial coefficients ? Using binomial coefficients to calculate probabilities Chapter 6: The binomial distribution The binomial distribution ? The expectation and variance of B(n, p) ? Using the binomial distribution Chapter 7: The normal distribution Using normal distribution tables ? The normal curve ? Modelling discrete situations ? Using the normal distribution as an approximation for the binomial distribution S2 Statistics 2 Chapter 8: Hypothesis testing using the binomial distribution Defining terms ? Hypothesis testing checklist ? Choosing the significance level ? Critical values and critical (rejection) regions ? One-tail and two-tail tests ? Type I and Type II errors Chapter 9: The Poisson distribution The Poisson distribution ? Modelling with a Poisson distribution ? The sum of two or more Poisson distributions ? The Poisson approximation to the binomial distribution ? Using the normal distribution as an approximation for the Poisson distribution Chapter 10: Continuous random variables Probability density function ? Mean and variance ? The median ? The mode ? The uniform (rectangular) distribution Chapter 11: Linear combinations of random variables The expectation (mean) of a function of X, E(g[X]) ? Expectation: algebraic results ? The sums and differences of independent random variables ? More than two independent random variables Chapter 12: Sampling Terms and notation ? Sampling ? Sampli Printed Pages: 352. N° de ref. de la librería 86995

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Título: Statistics (Cambridge International as and a...

Editorial: Hodder Education/Viva Books Private Limited

Año de publicación: 2015

Encuadernación: Softcover

Condición del libro: New

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Sinopsis:

This brand new series has been written for the University of Cambridge International Examinations course for AS and A Level Mathematics (9709). This title covers the requirements of S1 and S2. The authors are experienced examiners and teachers who have written extensively at this level, so have ensured all mathematical concepts are explained using language and terminology that is appropriate for students across the world. Students are provded with clear and detailed worked examples and questions from Cambridge International past papers, so they have the opportunity for plenty of essential exam practice. Each book contains a free CD-ROM which features the unique 'Personal Tutor' and 'Test Yourself' digital resources that will help students revise and reinforce concepts away from the classroom: - With Personal Tutor each student has access to audio-visual, step-by-step support through exam-style questions - The Test Yourself interactive multiple choice questions identify weaknesses and point students in the right direction

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