[SerializableAttribute]
public class BinomialDistribution : DiscreteDistribution

<SerializableAttribute>
Public Class BinomialDistribution
	Inherits DiscreteDistribution

[SerializableAttribute]
public ref class BinomialDistribution : public DiscreteDistribution

[<SerializableAttribute>]
type BinomialDistribution =  
    class
        inherit DiscreteDistribution
    end

The BinomialDistribution type exposes the following members.

	Name	Description
	BinomialDistribution(Int32)	Constructs a new BinomialDistribution with the specified number of trials. The probability of success is set to 0.5.
	BinomialDistribution(NumericalVariable)	Estimates the parameters of the distribution of a variable assuming it follows a binomial distribution.
	BinomialDistribution(VectorDouble)	Estimates the parameters of the distribution of a variable assuming it follows a binomial distribution.
	BinomialDistribution(Int32, VectorDouble)	Estimates the parameters of the distribution of a variable assuming it follows a binomial distribution.
	BinomialDistribution(Int32, Double)	Constructs a new BinomialDistribution with the specified number of trials and probability of success.
	BinomialDistribution(Int32, NumericalVariable)	Estimates the parameters of the distribution of a variable assuming it follows a binomial distribution.

	Name	Description
	Kurtosis	Gets the kurtosis of the distribution. (Overrides DistributionKurtosis.)
	Mean	Gets the mean or expectation value of the distribution. (Overrides DistributionMean.)
	NumberOfTrials	Gets the number of trials.
	ProbabilityOfSuccess	Gets the probability that a trial is successful.
	Skewness	Gets the skewness of the distribution. (Overrides DistributionSkewness.)
	StandardDeviation	Gets the standard deviation of the distribution. (Inherited from Distribution.)
	StatisticSymbol	Gets the common symbol to describe a statistic from the distribution. (Inherited from Distribution.)
	Variance	Gets the variance of the distribution. (Overrides DistributionVariance.)

	Name	Description
	DistributionFunction	Evaluates the cumulative distribution function of the distribution. (Overrides DiscreteDistributionDistributionFunction(Int32).)
	Equals	Determines whether the specified Object is equal to the current Object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetExpectedHistogram(Double)	Gets a vector whose bins contain the expected number of samples for a given total number of samples.
	GetExpectedHistogram(IndexIntervalInt32, Double)	Returns a histogram whose bins contain the expected number of samples from the distribution for a given total number of samples. (Inherited from DiscreteDistribution.)
	GetExpectedHistogram(IndexInt32, Double)	Returns a histogram whose bins contain the expected number of samples from the distribution for a given total number of samples. (Inherited from DiscreteDistribution.)
	GetExpectedHistogram(Int32, Int32, Double)	Returns a histogram whose bins contain the expected number of samples from the distribution for a given total number of samples. (Inherited from DiscreteDistribution.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetRandomSequence	Returns a sequence of random samples from the distribution. (Inherited from DiscreteDistribution.)
	GetRandomSequence(Random)	Returns a sequence of random samples from the distribution. (Inherited from DiscreteDistribution.)
	GetRandomSequence(Random, Int32)	Returns a sequence of random samples of the specified length from the distribution. (Inherited from DiscreteDistribution.)
	GetRandomVariate(Random)	Returns a random sample from the distribution. (Inherited from DiscreteDistribution.)
	GetRandomVariate(Random, Int32)	Returns a single random sample from a binomial distribution with the specified parameters. The probability of a trial resulting in a success is set to 0.5.
	GetRandomVariate(Random, Int32, Double)	Obsolete. Returns a single random sample from a binomial distribution with the specified parameters.
	GetRandomVariates(Random, Int32)	Fills an Int32 array with random numbers. (Inherited from DiscreteDistribution.)
	GetRandomVariates(Random, Int32, Int32, Int32)	Fills an Int32 array with random numbers from this DiscreteDistribution. (Inherited from DiscreteDistribution.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	InverseDistributionFunction	Returns the inverse of the distribution function. (Overrides DiscreteDistributionInverseDistributionFunction(Double).)
	LeftTailProbability	Gets the probability of obtaining a sample that is less than or less than or equal to the specified upper bound. (Inherited from DiscreteDistribution.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Probability(Int32)	Evaluates the probability function of the distribution. (Overrides DiscreteDistributionProbability(Int32).)
	Probability(Int32, Int32)	Gets the probability of obtaining a sample that falls within the specified interval from the distribution. (Inherited from DiscreteDistribution.)
	RightTailProbability	Gets the probability of obtaining a sample that is less than or less than or equal to the specified upper bound. (Inherited from DiscreteDistribution.)
	Sample	Returns a random sample from the distribution. (Inherited from DiscreteDistribution.)
	Sample(Random)	Returns a random sample from the distribution. (Overrides DiscreteDistributionSample(Random).)
	Sample(Int32)	Returns a vector of random samples from the distribution. (Inherited from DiscreteDistribution.)
	Sample(Random, Int32)	Returns a single random sample from a binomial distribution with the specified parameters. The probability of a trial resulting in a success is set to 0.5.
	Sample(Int32, Random)	Returns a vector of random samples from the distribution. (Inherited from DiscreteDistribution.)
	Sample(Random, Int32)	Fills an Int32 array with random numbers. (Inherited from DiscreteDistribution.)
	Sample(Random, Int32, Double)	Returns a single random sample from a binomial distribution with the specified parameters.
	Sample(Random, Int32, Int32, Int32)	Fills an Int32 array with random numbers from this DiscreteDistribution. (Inherited from DiscreteDistribution.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	ToString	Returns a string that represents the current object. (Overrides ObjectToString.)
	TwoTailProbability	Gets the probability of obtaining a sample that is less than or less than or equal to the specified upper bound. (Inherited from DiscreteDistribution.)

The binomial distribution Binomial(n, probability) characterizes the probability of the number of successes in a variable of n trials, each having a probability probability of being successful.

If n = 1, the binomial distribution reduces to the BernoulliDistribution.

Numerical Libraries

Reference