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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.

Mentioned in:

Proofs: 1 2 3
Propositions: 4 5
Theorems: 6

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References

Bibliography

1. Bosch, Karl: "Elementare Einführung in die Wahrscheinlichkeitsrechnung", vieweg Studium, 1995, 6th Edition