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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.

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