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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