THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
A company hires management trainees for entry level sales positions.Past experience indicates that only 10% will still be employed at the end of nine months.Assume the company recently hired six trainees.
-What is the probability that between one and three (inclusive)of the trainees will still be employed at the end of nine months?
A)0.3543
B)0.0984
C)0.0146
D)0.4673

Question

Quizplus · Accepted Answer

The probability that between one and three trainees will still be employed at the end of nine months can be calculated using the binomial probability formula. The probability of success (still being employed) is 0.10, and the probability of failure (no longer being employed) is 0.90. We calculate the probability for exactly 1, exactly 2, and exactly 3 successes (trainees still employed) and sum these probabilities. The calculations yield a total probability of 0.4673, making option D correct.