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 figure out the probability that none of the members chosen for the team have any competition experience?
A) Poisson distribution
B) exponential distribution
C) uniform distribution
D) hypergeometric distribution

Question

Quizplus · Accepted Answer

The hypergeometric distribution is used when a sample is drawn from a finite population without replacement. In this case, we are choosing 4 members from a group of 15 students without replacement. Also, we need to consider the fact that 10 of the 15 students have no prior competition experience, while the others do. Therefore, the hypergeometric distribution is appropriate for finding the probability that none of the members chosen have any competition experience.

A Debate Team of 4 Members for a High School