Binomial distribution: Difference between revisions
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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 | <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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Revision as of 13:44, 20 February 2012
binomial distribution
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:
