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IB Mathematics Higher Level Option Statistics

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A truly IB approach to mathematics

Table of Contents

1. Exploring further probability distributions ; 1.1 Cumulative distribution function ; 1.2 Other probability distributions ; 1.3 Probability generating functions ; 2. Expectation algebra and central limit theorem ; 2.1 Expectation algebra ; 2.2 Sampling distribution of the mean ; 2.3 The central limit theorem ; 3. Exploring statistical analysis methods ; 3.1 Estimators and estimates ; 3.2 Unbiased estimators for the mean and variance of a normal random variable ; 3.3 Confidence intervals for the mean ; 3.4 Hypothesis testing ; 3.5 Type I and Type II errors ; 4. Bivariate distributions ; 4.1 Correlation ; 4.2 Covariance ; 4.3 Hypothesis testing ; 4.4 Linear regression ; 5. Answers

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