The probability of selecting 2 male employees and 3 female employees for promotions in a small company would best be modelled with the ___.
A)binomial distribution
B)hypergeometric distribution
C)Poisson distribution
D)hyperbinomial distribution
E)exponential distribution

Question

Quizplus · Accepted Answer

The hypergeometric distribution is the best choice for this scenario because it involves randomly selecting a specific number of individuals from a finite population (in this case, the male and female employees in the company) without replacement, which is what we are doing when we select 2 males and 3 females for promotion. The binomial distribution is not appropriate because it assumes independent trials, but in this case the selections are dependent on the gender of the employees. The Poisson distribution is not appropriate because it models rare events occurring at a constant rate, which does not apply to this scenario. The hyperbinomial distribution and exponential distribution are not appropriate for this scenario.

The Probability of Selecting 2 Male Employees and 3 Female