Maths in Action - Advanced Higher Statistics 1

Part 1 Probability: random experiments and sample spaces; events; rules of probability; equally likely outcomes; permutations and combinations; conditional probability and independence; Bayes' theorem; statistics in action - diagnostic testing in medicine. Part 2 Random variables: review of discrete random variables; laws of expectation and variance; the binomial distribution; the Poisson distribution; approximating the binomial with the Poisson; review of continuous random variables; the normal distribution; combining normal random variables; approximating the binomial with the normal; statistics in action -modelling data. Part 3 Sampling: populations and samples; simple random sampling; the distribution of sample means; the central limit theorem; a confidence interval for a population mean; a confidence interval for a population proportion; stratified random sampling; cluster sampling; further sampling methods; statistics in action - sampling.