Binomial distribution: Difference between revisions

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''Statistics.''
''Statistics.''


A discrete probability distribution that applies when an experiment is conducted ''n'' times with each trial having a probability ''p'' of success and each trial is independent of every other trial.
A discrete probability distribution built up from a series of binomial trials.
 
 
The binomial distribution can be a useful model for processes where:
 
#The process consists of a whole number of identical trials or situations (n).
#Each trial results in just one of only two possible outcomes (eg success or failure).
#The probability of success (p) remains constant for each trial.
#The trials are independent and
#Primary interest lies in the probability of a specified number of successes (or of failures) in the n trials.
 


== See also ==
== See also ==
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* [[Discrete random variable]]
* [[Discrete random variable]]
* [[Frequency distribution]]
* [[Frequency distribution]]
* [[Poisson distribution]]

Revision as of 13:48, 5 August 2014

Statistics.

A discrete probability distribution built up from a series of binomial trials.


The binomial distribution can be a useful model for processes where:

  1. The process consists of a whole number of identical trials or situations (n).
  2. Each trial results in just one of only two possible outcomes (eg success or failure).
  3. The probability of success (p) remains constant for each trial.
  4. The trials are independent and
  5. Primary interest lies in the probability of a specified number of successes (or of failures) in the n trials.


See also