binomial_uncertain
Aleatory uncertain discrete variable - binomial
Topics
discrete_variables, aleatory_uncertain_variables
Specification
Alias: None
Arguments: INTEGER
Default: no binomial uncertain variables
Child Keywords:
Required/Optional |
Description of Group |
Dakota Keyword |
Dakota Keyword Description |
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Required |
A distribution parameter for the binomial distribution |
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Required |
A distribution parameter |
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Optional |
Initial values for variables |
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Optional |
Labels for the variables |
Description
The binomial distribution describes probabilities associated with a series of independent Bernoulli trials. A Bernoulli trial is an event with two mutually exclusive outcomes, such as 0 or 1, yes or no, success or fail. The probability of success remains the same (the trials are independent).
The density function for the binomial distribution is given by:
where
Theory
The binomial distribution is typically used to predict the number of failures
or defective items in a total of