Probability distributions

We take a small excursus to probability distributions, since they are used frequently in the book. The theoretical distributions are, both in descriptive and in mathematical statistics, of central importance:

• To approximate functions, such as a description of empirically observed frequency distributions in descriptive statistics

• The determination of probabilities for results of certain random experiments in mathematical statistics

Some important theoretical distributions are, for example, the Binomial distribution, the Poisson distribution, the hyper-geometrical distribution, the uniform distribution, the exponential distribution, the normal distribution, the distribution, and the t distribution.

Discrete probability distributions

Married or not married, in the Austrian population, defines already a discrete probability distribution. Discrete distributions are in general very important and we should take a closer look at them, since they are needed in the following...