Compute Probabilities of Binomial Experiments
-In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 6 of them favor the building of the health center.
A) 0.023
B) 0.126
C) 0.429
D) 0.700

Question

Quizplus · Accepted Answer

The probability of exactly 6 successes in 14 trials with a probability of success of 0.7 is given by the binomial distribution:P(X = 6) = (14 choose 6) * (0.7)^6 * (0.3)^8 = 0.126