Ten membersThree juniors and seven seniors from the science club qualify for a national competition, but only five people per school can attend the event. The coach decides to put the 10 members’ names on identical slips of paper, put the slips in a hat, and pull out five names, one at a time. Those five students will go to the national competition. Let X represent the number of juniors selected to attend the competition.Have the conditions for a binomial setting been met for this scenario?
Answer
A
Yes, all four conditions in BINS have been met.
B
No, we do not know how many people overall will go to the national competition.
C
No, there is no way to find out the probability of choosing just one student to attend.
D
No, the names were pulled and not replaced in the hat, so the independence condition is not met.