alleryStart learning →Which three conditions define a geometric experiment?
AFixed trials, two outcomes, and independent draws
BSampling without replacement from two groups
CEvents counted over an interval at a known rate
DRepeated trials until the first success occurs
Answer & Solution
Correct answer: D. Repeated trials until the first success occurs
1. A geometric experiment repeats Bernoulli trials, all failures except the last, which is the success that ends the process.
2. In theory there is no upper limit on how many trials it could take, though there must be at least one.
3. The probability of success, p, and of failure, q, stay the same on every trial.
4. Option A describes a binomial experiment and option C a hypergeometric one, so neither fits the geometric case.
_Source: OpenStax Introductory Statistics (CC BY 4.0), Ch 4 "Discrete Random Variables", section 4.4 Geometric Distribution_
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