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Cumulative Distribution Function (CDF) Calculator for the Binomial Distribution
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Cumulative Distribution Function (CDF) Calculator for the Binomial Distribution
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This calculator will compute the cumulative distribution function (CDF) for the binomial distribution, given the number of successes, the number of trials, and the probability of a successful outcome occurring.
Please supply the necessary parameter values, and then click 'Calculate'.
Probability of success:
The probability of a success occurring.
Successes:
The number of successes.
Trials:
The number of trials in the experiment.
Formulas
The following formulas are involved in the calculation of cumulative distribution function (CDF) values for the binomial distribution:
Beta function:
Binomial distribution cumulative distribution function (CDF):
where
x
is the number of successes,
n
is the number of trials,
p
is the probability of a successful outcome, and
I
is the regularized lower incomplete beta function.
Lower incomplete beta function:
Regularized lower incomplete beta function:
where the numerator is the lower incomplete beta function, and the denominator is the beta function.
References
The following references can be used to cite this cumulative distribution function (cdf) calculator for the binomial distribution:
Soper, D.S. (2016). Cumulative Distribution Function (CDF) Calculator for the Binomial Distribution [Software]. Available from http://www.danielsoper.com/statcalc
Abramowitz, M. and Stegun, I.A., eds. (1965). Handbook of Mathematical Functions. New York, NY: Dover.
Keller, G. (2011). Statistics for Management and Economics (9th edition). Mason, OH: South-Western Cengage.
Related Calculators
The following statistics calculators are related to this cumulative distribution function (cdf) calculator for the binomial distribution, and may be useful for your research:
Binomial Distribution Calculators
Binomial Coefficient Calculator
Binomial Probability Calculator
Binomial Probability Confidence Interval Calculator
Cumulative Binomial Probability Calculator
Expected Value Calculator for a Binomial Random Variable
Probability Mass Function (PMF) Calculator for the Binomial Distribution
Variance Calculator for a Binomial Random Variable
Cumulative Distribution Function (CDF) Calculators
Cumulative Distribution Function (CDF) Calculator for the Beta Distribution
Cumulative Distribution Function (CDF) Calculator for the Chi-Square Distribution
Cumulative Distribution Function (CDF) Calculator for the F-Distribution
Cumulative Distribution Function (CDF) Calculator for the Noncentral F-Distribution
Cumulative Distribution Function (CDF) Calculator for the Noncentral t-Distribution
Cumulative Distribution Function (CDF) Calculator for the Normal Distribution
Cumulative Distribution Function (CDF) Calculator for the Poisson Distribution
Cumulative Distribution Function (CDF) Calculator for the Standard Normal Distribution
Cumulative Distribution Function (CDF) Calculator for the t-Distribution
Cumulative Distribution Function (CDF) Calculator for the Uniform Distribution
The
Statistics Calculators Index
now contains 104 free statistics calculators!
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