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binomial distribution
This term is a technical expression used primarily in statistics and probability theory. It describes a specific scenario where there are only two possible outcomes for each trial, such as success or failure, yes or no, or heads or tails. It is distinct from a normal distribution, which describes continuous data, whereas the binomial distribution deals with discrete counts of events.
In academic and professional contexts, the term is used to model binary outcomes across a fixed number of independent trials. It requires a constant probability of success for every trial, making it a foundational concept in quality control, clinical trials, and survey sampling.
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A discrete probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters, specifically the number of successes in a sequence of n independent experiments.
The probability of getting exactly three heads in ten coin flips is calculated using the binomial distribution.