6.1The Poisson Distribution
Poisson probabilities, when the model applies, and the two approximations.
5 sub-topics · Calculating Poisson probabilities Po(λ) · Mean and variance of a Poisson distribution both equal to λ …
Linear Combinations of Random Variables
How mean and variance behave under scaling and addition of independent variables.
4 sub-topics · E(aX + b) and Var(aX + b) · E(aX + bY) and Var(aX + bY) for independent X and Y …
Continuous Random Variables
Probability density functions, and the integrals that give probability, mean, variance and median.
2 sub-topics · Probability density functions and their properties · Using a PDF to find probabilities, mean, variance and median
Sampling and Estimation
Sampling, the distribution of the sample mean, the Central Limit Theorem and confidence intervals.
8 sub-topics · Distinction between sample and population; need for random sampling · Identifying flaws in sampling methods …
Hypothesis Tests
Setting up and running a test, and the two ways it can be wrong.
6 sub-topics · Nature of hypothesis testing; one-tailed and two-tailed tests · Null and alternative hypotheses, significance level, critical region …