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A binomial experiment with exactly n = 1 trial, satisfying the two-outcome and constant-probability conditions, is given a special name after a mathematician who studied it extensively in the late 1600s. What is it called?
AA Bernoulli Trial
BA Poisson Trial
CA geometric Trial
DA Gaussian Trial
Answer & Solution
Correct answer: A. A Bernoulli Trial
1. Characteristics two and three of a binomial experiment, with n set to exactly one trial, define a special case.
2. This single-trial case is called a Bernoulli Trial, named after Jacob Bernoulli.
3. A binomial experiment then counts the total successes across one or more of these Bernoulli Trials.
4. Poisson, geometric, and Gaussian are names of other distributions covered elsewhere, not the single-trial case.
_Source: OpenStax Introductory Statistics (CC BY 4.0), Ch 4 "Discrete Random Variables", section 4.3 Binomial Distribution_
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