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:

Low-productivity Workers

Employees who produce less output than the average worker within a certain period.

Utility Function

Describes the relationship between the quantities of goods consumed and the level of satisfaction or utility derived from those goods by a consumer.

Consumption H

This term is unclear without additional context but could imply a specific form of consumption denoted by "H."

Pooling Equilibrium

A situation in game theory where different types with different information are indistinguishable to others, leading to a common action or outcome.