Asked by Holly Phillip on May 07, 2024

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When sampling without replacement, the appropriate probability distribution is:

A) a binomial distribution
B) a hypergeometric distribution
C) a Poisson distribution
D) all of these

Sampling Without Replacement

A method of sampling where once an individual is selected, they are not placed back into the population for the possibility of a second selection.

Hypergeometric Distribution

A probability distribution used to calculate probabilities for drawing successes without replacement from a finite population.

Binomial Distribution

A probability distribution that summarizes the number of successes in a fixed number of binary experiments.

  • Utilize the notion of sampling, inclusive of instances with or without replacement, for probability estimations.
  • Compare and distinguish between the hypergeometric, binomial, and Poisson distributions.
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DM
Dulce MonzonMay 13, 2024
Final Answer :
B
Explanation :
When sampling without replacement, the appropriate probability distribution is a hypergeometric distribution. This is because the number of successes and failures are not fixed like in a binomial distribution, and the events are not independent like in a Poisson distribution.