THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING:
A recent survey found that 40% of all air traffic controllers found their job extremely stressful.Suppose 12 air traffic controllers are selected at random.
-What is the probability that exactly 5 of them consider their job extremely stressful?
A)0.241
B)0.213
C)0.227
D)0.232

Question

Quizplus · Accepted Answer

This question involves a binomial distribution with n=12, p=0.4, and x=5. Using the formula for binomial probability, P(X=5) = (12 choose 5) * (0.4)^5 * (0.6)^7 = 0.2268, which is closest to option C, 0.227.