Asked by Maureen Doyle-Barakat on Jun 27, 2024

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The hypergeometric probability distribution is used rather than the binomial distribution when the sampling is performed:

A) with replacement from a finite population
B) without replacement from a finite population of size N and that size N is small in relation to the sample size n namely, n / N.05
C) without replacement from an infinite population
D) with replacement from an infinite population

Binomial Distribution

A probability distribution that summarizes the likelihood that a value will take one of two independent states under a given number of trials.

Without Replacement

A sampling method where each selected unit or item is not returned to the pool of potential selections for subsequent draws.

Finite Population

A set of elements or observations that is fixed and countable, often contrasted with an infinite population in statistical analysis.

  • Understand the characteristics and conditions under which a hypergeometric probability distribution is used.
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KF
Katya FuentesJun 28, 2024
Final Answer :
B
Explanation :
The hypergeometric probability distribution is used when sampling is performed without replacement from a finite population. In this case, the probability of success in each trial is not constant and depends on the outcomes of previous trials. The binomial distribution, on the other hand, assumes sampling with replacement or large finite population size, where the probability of success is constant for each trial. Option B states that the population size N is small in relation to the sample size n, indicating that hypergeometric distribution is the appropriate choice.