Eighty percent of the people who see a particular movie love it and plan to see it again soon.If we randomly select 18 people who are exiting the movie theater after seeing this movie, what is the probability that fewer than 12 loved the movie and will plan to see it again soon?
A) 0.0513
B) 0.9487
C) 0.1329
D) 0.8671

Question

Quizplus · Accepted Answer

This is a binomial probability problem where n = 18 (number of trials), p = 0.80 (probability of success), and we are looking for the probability of x < 12 successes. The correct answer is calculated using the binomial distribution formula or a binomial distribution table/calculator. The cumulative probability of getting fewer than 12 successes (loving the movie and planning to see it again) out of 18 trials, given the success probability of 0.80, is approximately 0.0513. This calculation involves summing the probabilities of getting 0 to 11 successes.

Eighty Percent of the People Who See a Particular Movie