A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students.Ten of the 15 students have no prior competition experience while the others have some degree of experience.Which of the following distributions would you use to determine the probability that none of the members chosen for the team have any competition experience?
A)Hypergeometric distribution.
B)Poisson distribution.
C)Uniform distribution.
D)Binomial distribution.

Question

Quizplus · Accepted Answer

The hypergeometric distribution is used when sampling without replacement is involved, which is the case here as a team of 4 will be chosen randomly from 15 students. Additionally, the hypergeometric distribution is used when there are two distinct populations (in this case, those with competition experience and those without). Finally, we are looking for the probability that none of the members selected have competition experience, which is a specific outcome that the hypergeometric distribution can calculate.

A Debate Team of 4 Members for a High School