binomial distribution
Noun
Meaning
a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
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Generating binomial random variates Methods for random number generation where the marginal distribution is a binomial distribution are well-established.
However, for N much larger than n, the binomial distribution is a good approximation, and widely used.
In that case, and Occurrence Waiting time in a Bernoulli process For the special case where r is an integer, the negative binomial distribution is known as the Pascal distribution.
Laplace expanded De Moivre's finding by approximating the binomial distribution with the normal distribution.
Suppose we used the negative binomial distribution to model the number of days a certain machine works before it breaks down.
The binomial distribution article details such an application of the central limit theorem in the simple case of a discrete variable taking only two possible values.