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Evaluates the binomial distribution probability density function.

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Interface
PDF
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Interface

C++

Excel

PDF

doublePDF(	double	`p`
	int	`s`
	int	`n`	)

The binomial distribution gives the discrete probability distribution

$P_p(s|n)$

(2)

of obtaining exactly s successes out of n Bernoulli trials (where the result of each Bernoulli trial is true with probability p and false with probability <em>1-p</em>). The binomial distribution is therefore given by:

$P_p(s|n) = \frac{n!}{s!(s-n)!} p^s (1-p)^{n-s}$

(3)

References:

MathWorld, http://mathworld.wolfram.com/BinomialDistribution.html

Example 1

#include<iostream>
#include<codecogs/stats/dists/discrete/binomial/pdf.h>
int main()
{
  std::cout << "binomial PDF: " << Stats::Dists::Discrete::Binomial::PDF(0.3,5,2) << std::endl;
  return 0;
}

Output:

binomial PDF: 0.00708455

Parameters

p	is the probability of success on any one trial
s	is the number of successes
n	is the number of events

Authors

Anca Filibiu (September 2005)

Source Code

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