The following formula is involved in the calculation of probability mass function (PMF) values for the binomial distribution:
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Binomial distribution probability mass function (PMF):

where x is the number of successes, n is the number of trials, and p is the probability of a successful outcome.
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The following references can be used to cite this probability mass function (pmf) calculator for the binomial distribution:
 | Soper, D.S. (2013). Probability Mass Function (PMF) Calculator for the Binomial Distribution [Software]. Available from http://www.danielsoper.com/statcalc |
 | Keller, G. (2011). Statistics for Management and Economics (9th edition). Mason, OH: South-Western Cengage. |