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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