A major retailer in Australia wishes to form a team of 16 executives from different departments within the company.Suppose the company has a total of 60 executives,and 20 of these are from the marketing department.If the members of the team are to be selected at random,what type of probability distribution can be used to figure out the probability that the team will contain four executives from the marketing department?
A) Binomial distribution.
B) Poisson distribution.
C) Hypergeometric distribution.
D) None of the above.

Question

Quizplus · Accepted Answer

The problem involves the selection of a specific number of executives (4) from a larger group (20) within a fixed number of total executives (60), which is exactly what the hypergeometric distribution models. Therefore, the hypergeometric distribution is the appropriate probability distribution to use in this scenario. The binomial distribution would be appropriate if each executive had an equal probability of being selected, which is not the case here, and the Poisson distribution is used for rare events occurring in a fixed interval, which does not apply here either.

A Major Retailer in Australia Wishes to Form a Team