question archive A professor wants to set up a team of students for an international competition
A professor wants to set up a team of students for an international competition
Subject:BusinessPrice:2.87 Bought7
A professor wants to set up a team of students for an international competition. He will interview a number of students until finding 4 qualified candidates. The probability that a randomly selected student is qualified is 0.26. Assuming students are independent, what is the average number of students that the teacher will interview?
Purchase A New Answer
Custom new solution created by our subject matter experts
GET A QUOTE
Answer Preview
Answer:
The above distribution is a negative binomial distribution where distribution ends on finding kth success or in above case 4th qualified student
Mean of such distribution = k/p
Where k = 4 and p = 0.26 i.e. 26% chance that student is qualified independently.
average = 4/0.26 = 15.38
So solution = 15.38
