82 lines
3.8 KiB
Markdown
82 lines
3.8 KiB
Markdown
# MathProbabilityDensityBinomial
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Calculates the value of the probability mass function of binomial distribution with the n and p parameters for a random variable x. In case of error it returns [NaN](/en/docs/basis/types/double).
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```
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double MathProbabilityDensityBinomial(
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const double x, // value of random variable
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const double n, // parameter of the distribution (number of tests)
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const double p, // parameter of the distribution (probability of event occurrence in one test)
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const bool log_mode, // calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability density is calculated
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int& error_code // variable to store the error code
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);
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```
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Calculates the value of the probability mass function of binomial distribution with the n and p parameters for a random variable x. In case of error it returns [NaN](/en/docs/basis/types/double).
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```
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double MathProbabilityDensityBinomial(
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const double x, // value of random variable
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const double n, // parameter of the distribution (number of tests)
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const double p, // parameter of the distribution (probability of event occurrence in one test)
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int& error_code // variable to store the error code
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);
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```
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Calculates the value of the probability mass function of binomial distribution with the n and p parameters for an array of random variables x[]. In case of error it returns false. Analog of the [dbinom()](https://stat.ethz.ch/R-manual/R-devel/library/stats/html/Binomial.html) in R.
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```
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bool MathProbabilityDensityBinomial(
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const double& x[], // array with the values of random variable
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const double n, // parameter of the distribution (number of tests)
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const double p, // parameter of the distribution (probability of event occurrence in one test)
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const bool log_mode, // flag to calculate the logarithm of the value, if log_mode=true, then the natural logarithm of the probability density is calculated
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double& result[] // array for values of the probability density function
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);
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```
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Calculates the value of the probability mass function of binomial distribution with the n and p parameters for an array of random variables x[]. In case of error it returns false.
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```
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bool MathProbabilityDensityBinomial(
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const double& x[], // array with the values of random variable
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const double n, // parameter of the distribution (number of tests)
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const double p, // parameter of the distribution (probability of event occurrence in one test)
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double& result[] // array for values of the probability density function
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);
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```
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Parameters
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x
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[in] Value of random variable.
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x[]
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[in] Array with the values of random variable.
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n
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[in] Parameter of the distribution (number of tests).
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p
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[in] Parameter of the distribution (probability of event occurrence in one test).
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log_mode
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[in] Flag to calculate the logarithm of the value. If log_mode=true, then the natural logarithm of the probability density is returned.
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error_code
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[out] Variable to store the error code.
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result[]
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[out] Array for values of the probability density function.
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