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A frequency distribution of the possible number of successful outcomes in a given number of trials in each of which there is the same probability of success.
‘The random component of our generalized linear model is the binomial distribution with probability of success equal to [theta].’
‘As and get larger, the distribution becomes closer to a Gaussian, although it is always flatter than the binomial distribution with success probability and independent outcomes.’
‘Then Y follows a binomial distribution with number of trials n and probability of success P = C (here expressed as a decimal between 0 and 1).’
‘Full-sib family sizes in a sample are assumed to follow either a Poisson distribution with parameter or a negative binomial distribution with parameters (probability of success) and (number of successes).’
‘Such a ‘rate’ can be modeled statistically by the probability parameter of a binomial distribution.’