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Nelson Probability and Statistics 2 for Cambridge International A Level


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Table of Contents

1 The Poisson distribution The Poisson distribution The Poisson distribution as an approximation to the binomial distribution The normal distribution as an approximation to the Poisson distribution 2 Linear combinations of random variables Linear functions of a random variable Linear combinations of random variables The sum of independent Poisson Variables The sum of independent normal variables The difference of independent normal Variables Multiples of normal Variables 3 Continuous probability distributions Continuous random Variables Median and quartiles Mean and Variance Miscellaneous worked examples 4 Sampling and estimation Sampling Sample statistics: the sample mean, X Unbiased estimates Confidence intervals for , the population mean Confidence intervals for proportion, p 5 Hypothesis tests 1: Discrete variables Hypothesis test for a binomial proportion p Hypothesis test for a Poisson mean Type I and Type II errors 6 Hypothesis tests 2: z-tests Introduction to z-tests Hypothesis test 1: testing , the mean of a population Type I and Type II errors Hypothesis test 2: testing a binomial proportion p when n is large Hypothesis test 3: testing a Poisson mean when y is large Normal distribution tables List of formulae provided in the exam Sample exam papers Answers

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`"Amazing book! It covers all the syllabus topics comprehensively, and it has clearly laid-out and separated sections so that you don't get confused. In my exam, there was not a single question that was unfamiliar because I had already encountered at least one exercise of its type in the worked examples in the book. A truly remarkable book and I recommend it vividly."' Amazon student review

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