1. Confidence Interval for Population Mean Difference | Calculating a 95% confidence interval for the difference in mean heights of two types of beech trees based on sample data. 2. Wilcoxon Matched-Pairs Signed-Rank Test | Testing whether one teacher systematically gives higher marks than another, including a reassessment after a data correction. 3. Goodness of Fit Test for Poisson Distribution | Completing expected frequencies and performing a chi-square goodness-of-fit test at a 10% significance level. 4. Probability Density and Cumulative Distribution Functions | Finding and sketching the probability density function, deriving the cumulative distribution function, and calculating the median. 5. Probability Generating Functions | Determining the probability generating function for a coin toss experiment, extending it to include dice rolls, and using it to find the expected value. 6. Hypothesis Testing for Monarch Butterfly Wingspan | Performing a significance test at the 10% level to determine if butterflies in one region have a greater mean wingspan than in another.