Binomial distribution: Difference between revisions

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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.
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|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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== binomial distribution ==
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<div class="definition"><div class="short_definition">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.</div><br/> <div class="paragraph">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:    <div class="display-formula"><blockquote>[[File:ams2001glos-Be17.gif|link=|center|ams2001glos-Be17]]</blockquote></div></div><br/></div>
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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:
ams2001glos-Be17


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