We Wish to Model a Sampling Situation from a Population

question 18

Multiple Choice

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?

• A) A binomial random variable would be accurate as long as the sampling process used is identical for each trial.
• B) A geometric random variable would be better in this situation because the population is small and the sampling is without replacement.
• C) A hypergeometric random variable would be better in this situation because the population is small and the sampling is without replacement.
• D) A supergeometric random variable would be better in this situation because the population is small and the sampling is without replacement.

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Definitions:

Dominant Culture

The prevailing cultural practices, beliefs, and values in a given society that influence norms and behaviors, often marginalizing minority groups.

Storytelling

The art or practice of narrating stories or events, often used as a means of entertainment, education, cultural preservation, or instilling moral values.

Ancestors

Predecessors in a family lineage or broadly, individuals from whom one is descended, significantly influencing cultural and biological inheritance.

Cultures

The shared values, traditions, norms, customs, arts, history, folklore, and institutions of a group of people.