We wish to model a sampling situation from a population of 100 samples, where each will be evaluated as either a success or a failure. The proportion of “successes” in the population is known, and a sample without replacement is to be selected. It is proposed to use a binomial random variable to model probability in this model. Which of the following statements is accurate concerning this situation?

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A binomial random variable would be accurate as long as the sampling process used is identical for each trial.

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A geometric random variable would be better in this situation because the population is small and the sampling is without replacement.

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A hypergeometric random variable would be better in this situation because the population is small and the sampling is without replacement.

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A supergeometric random variable would be better in this situation because the population is small and the sampling is without replacement.