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.

| | | | | created: 2016-03-18 22:13:45 | modified: 2016-03-18 22:29:19 | by: bookofproofs | references: [856]