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- Estimating probabilities using simulation
- Mutually exclusive events and unions of events
- Conditional probability
- Independent versus dependent events and the multiplication rule

- The normal distribution, revisited
- The central limit theorem
- Biased and unbiased point estimates
- Sampling distributions for sample proportions
- Sampling distributions for differences in sample proportions
- Sampling distributions for sample means
- Sampling distributions for differences in sample means

- Introduction to random variables and probability distributions
- Mean and standard deviation of random variables
- Transforming random variables
- Combining random variables
- Introduction to the binomial distribution
- Parameters for a binomial distribution
- The geometric distribution

- Constructing a confidence interval for a population mean
- Setting up a test for a population mean
- Carrying out a test for a population mean
- Confidence intervals for the difference of two means
- Testing for the difference of two population means

- Introduction to confidence intervals
- Confidence intervals for proportions
- The idea of significance tests
- Setting up a test for a population proportion
- Carrying out a test for a population proportion
- Concluding a test for a population proportion
- Potential errors when performing tests
- Confidence intervals for the difference of two proportions
- Testing for the difference of two population proportions