Bernoulli-Verteilung

Bernoulli Distribution

The Ber­noul­li dis­tri­bu­ti­on best descri­bes all situa­tions whe­re a “tri­al” is made resul­ting in eit­her “suc­cess” or “fail­ure,” such as when tos­sing a coin, or when mode­ling the suc­cess or fail­ure of a sur­gi­cal pro­ce­du­re.

The Ber­noul­li dis­tri­bu­ti­on is defi­ned as:

f(x) = px * (1-p)1-x

für x Î {0,1}

whe­re

p is the pro­ba­bi­li­ty that a par­ti­cu­lar event (e.g., suc­cess) will occur

For a com­ple­te lis­ting of all dis­tri­bu­ti­on func­tions, see Dis­tri­bu­ti­ons and Their Func­tions.

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