Meaning of binomial distribution | Babel Free

Definitions

The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.

Equivalents

Examples

“The first two have⟳ long histories in statistical theory, the binomial distribution having been discovered by James Bernoulli about 1700 and the Poisson distribution, which is a limiting form⟳ of the binomial distribution, by S. D. Poisson in 1837.”

“The number⟳ of hits by a player in a given number⟳ of at-bats can be represented by a binomial distribution where the probability of a hit is the player's "true" batting average.”

“In any application of the binomial distribution, we must clearly specify⟳ which outcome is the success and which is the failure. The binomial distribution model⟳ allows us to compute the probability of observing a specified number⟳ of successes when the process⟳ is repeated a specific number⟳ of times (e.g., in a set⟳ of patients) and the outcome for a given patient is either a success or a failure.”

CEFR level