BinomialDistribution Class

[SerializableAttribute]
public class BinomialDistribution : UnivariateDiscreteDistribution, 
	IFittableDistribution<double>, IFittable<double>, IDistribution<double>, 
	IDistribution, ICloneable, IFittableDistribution<int>, IFittable<int>, 
	IDistribution<int>

<SerializableAttribute>
Public Class BinomialDistribution
	Inherits UnivariateDiscreteDistribution
	Implements IFittableDistribution(Of Double), IFittable(Of Double), 
	IDistribution(Of Double), IDistribution, ICloneable, IFittableDistribution(Of Integer), 
	IFittable(Of Integer), IDistribution(Of Integer)

// Creates a distribution with n = 16 and success probability 0.12
var bin = new BinomialDistribution(trials: 16, probability: 0.12);

// Common measures
double mean = bin.Mean;     // 1.92
double median = bin.Median; // 2
double var = bin.Variance;  // 1.6896
double mode = bin.Mode;     // 2

// Probability mass functions
double pdf = bin.ProbabilityMassFunction(k: 1); // 0.28218979948821621
double lpdf = bin.LogProbabilityMassFunction(k: 0); // -2.0453339441581582

// Cumulative distribution functions
double cdf = bin.DistributionFunction(k: 0);    // 0.12933699143209909
double ccdf = bin.ComplementaryDistributionFunction(k: 0); // 0.87066300856790091

// Quantile functions
int icdf0 = bin.InverseDistributionFunction(p: 0.37); // 1
int icdf1 = bin.InverseDistributionFunction(p: 0.50); // 2
int icdf2 = bin.InverseDistributionFunction(p: 0.99); // 5
int icdf3 = bin.InverseDistributionFunction(p: 0.999); // 7

// Hazard (failure rate) functions
double hf = bin.HazardFunction(x: 0); // 1.3809523809523814
double chf = bin.CumulativeHazardFunction(x: 0); // 0.86750056770472328

// String representation
string str = bin.ToString(CultureInfo.InvariantCulture); // "Binomial(x; n = 16, p = 0.12)"