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Maths in Action - Advanced Higher Statistics 1

Developed for those following the Statistics 1 unit within the Mathematics and Applied Mathematics courses at Advanced Higher Level, this title is part of a series of five covering the Advanced Higher units in Mathematics and Statistics. All the books in the series pprovide: a straightforward route through the course with complete and ordered coverage of the units; numerous questions for practice and consolidation; thorough preparation for end-of-unit and end of course assessments.
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Table of Contents

Part 1 Probability: random experiments and sample spaces; events; rules of probability; equally likely outcomes; permutations and combinations; conditional probability and independence; Bayes' theorem; statistics in action - diagnostic testing in medicine. Part 2 Random variables: review of discrete random variables; laws of expectation and variance; the binomial distribution; the Poisson distribution; approximating the binomial with the Poisson; review of continuous random variables; the normal distribution; combining normal random variables; approximating the binomial with the normal; statistics in action -modelling data. Part 3 Sampling: populations and samples; simple random sampling; the distribution of sample means; the central limit theorem; a confidence interval for a population mean; a confidence interval for a population proportion; stratified random sampling; cluster sampling; further sampling methods; statistics in action - sampling.

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