The binomial distribution is a discrete distribution that is applied to situations where n independent and identical "trials" occur,with each trial resulting in a "success" or "failure," and where we want to generate the random number of successes in the n trials.

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The binomial distribution indeed models the number of successes in a fixed number of independent Bernoulli trials, each with the same probability of success.

The Binomial Distribution Is a Discrete Distribution That Is Applied