Definition: Bernoulli Experiment
A Bernoulli experiment has the following properties:
- The experiment is repeated \(n\) times.
- In each of the \(n\) experiments, either the event \(A\) occurs, or not (i.e. its complement \(\overline A\) occurs).
- There is a constant probability \(p\) for the event \(A_i\) to have in the \(i\)-th experiment the outcome \(A\), i.e. \(p(A_i)=p(A)=const\) for all \(i\)
- The experiments \(A_1,\ldots, A_n\) are mutually independent.
Proofs: 1 2 3
Propositions: 4 5
- Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition