Binomial distribution: Difference between revisions
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|Display title=binomial distribution | |||
{{ | |Definitions={{Definition | ||
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|Meaning=A [[probability distribution]] that applies to experiments involving sequences of independent trials in which only two possible outcomes (e.g., success or failure) can result on each trial. | |||
|Explanation=If ''p'' is the [[probability]] of success on each trial, and ''q'' = 1 - ''p'' the probability of failure, then the probability of success occurring ''x'' times in ''n'' trials is given by the binomial distribution: <blockquote>[[File:ams2001glos-Be17.gif|link=|center|ams2001glos-Be17]]</blockquote> | |||
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Latest revision as of 22:05, 13 January 2024
A probability distribution that applies to experiments involving sequences of independent trials in which only two possible outcomes (e.g., success or failure) can result on each trial.
If p is the probability of success on each trial, and q = 1 - p the probability of failure, then the probability of success occurring x times in n trials is given by the binomial distribution:
