Creates a Bernoulli distribution object (Discrete Distribution).

A random variable X is defined to have a Bernoulli distribution if the discrete density function of X is given by pf= [pow(p, x)*pow(1-p, x), for x=0,1] or 0 otherwise.

The parameter p is between 0 and 1 inclusive and 1-p is often denoted by q. The Mean of a Bernoulli distribution is p, the variance of a Bernoulli distribution is p*q. For example, a random experiment whose outcomes have been classified into two categories called 'success' and 'failure' represented by the letters s and f respectively, is called a Bernoulli trial.

If a random variable X is defined as 1 if a Bernoulli trial results in success and 0 if the same Bernoulli trial results in failure, then X has a Bernoulli distribution with parameter p=P[success]. The string 'Key' resulting from a successful construction of this distribution object can be passed to the following functions in order to query (mean, std deviation and variance) or execute functions (probability function, cumulative density function etc...) based on this distribution object : DDistributionMean(), DDistributionVar(), DDistributionSTD(), DDistributionPF() or DDistributionCDF(). In addition, the string 'Key' resulting from a successful construction of this distribution object will also allow you to construct a process generator object via a call to PGBernoulliDistribution(). A process generator object allows you to generate large amounts of random numbers based on this distribution.

Even though PGBernoulliDistribution() is the process generator object, the function RandomBernoulli() is the actual function that obtains the random numbers given a count parameter and the process generator string 'key'.

This function creates an object and returns a string-key value to represent this created object.
The TAG value of the string-key returned (second part of the key) is : "Bernoulli"

String CTStatDistributions.BernoulliDistribution( _
String Key, _
Long Reload, _
Double prob)

=CT.STAT.BernoulliDistribution(
Excel String Cell Key,
Excel Numeric Cell Reload,
Excel Numeric Cell prob)

static std::string BernoulliDistribution(
std::string Key,
long Reload,
double prob);

System.String CTStatDistributionsSA.BernoulliDistribution(
System.String Key,
System.Int32 Reload,
System.Double prob);

The C# example below contains all the sub-function calls leading up to this function call. As a result, the example can contain a lot of code.

The VB.NET, J#, C++.NET, Java, Excel VBA, Visual Basic 6 (via COM) and C++ examples below contain function code stubs for the calls leading up to this function call. However, the function call for this function is displayed.
You can easily reproduce the stub functions code from the C# example.