Probability and statistics

Independent and dependent events

Introduction to probability. Independent and dependent events. Compound events. Mutual exclusive events. Addition rule for probability.

Probability and combinatorics

Permutations and combinations. Using combinatorics to solve questions in probability.

Random variables and probability distributions

Random variables. Expected value. Probability distributions (both discrete and continuous). Binomial distribution. Poisson processes.

Descriptive statistics

Measures of central tendency and dispersion. Mean, median, mode, variance, and standard deviation.

Regression

Fitting a line to points. Linear regression. R-squared.

Inferential statistics

Making inferences based on sample data. Confidence intervals. Margin of error. Hypothesis testing.