To compute the probability that in a random sample of n elements, selected without replacement, we will obtain x successes, we would use the _____ probability distribution.
A) binomial
B) Poisson
C) hypergeometric
D) exponential

Question

Quizplus · Accepted Answer

The hypergeometric distribution is used when selecting a sample without replacement from a finite population of size N that contains a specific number of elements with a particular characteristic (successes). Therefore, it is the appropriate choice for computing the probability of obtaining x successes in a random sample of n elements selected without replacement. The binomial distribution is used for selecting samples with replacement, while the Poisson and exponential distributions are used for modeling continuous random variables, and are not appropriate for this scenario.

To Compute the Probability That in a Random Sample of N