random variables, cdf, and transformations

probability - addition, multiplication, independence, Bayes' formula

expected value, moments, variance, standard deviation

Bernoulli trials, Binomial distribution - cdf and use of tables

derivation of the poisson distribution and its properties

pgf, moments, binomial and poisson distributions

continuous distributions - exponential distribution, moment generating function

normal (Gaussian) distribution, moments, standardisation

hypothesis testing, normal distribution - one and two tailed tests, estimating variance

confidence intervals, limits and coefficient for the variance known and unknown

goodness of fit test, estimating parameters, small expected frequencies

dot plot, bar chart, histogram, stem and leaf plot, boxplot

worksheet for using the statistical package Splus