A Gallup poll of 1236 adults showed that the 12% of respondents think that it is bad luck to walk under ladder. Suggest the probability that among 30 randomly chosen people from the 1236 who were polled, there're at least 2 who have that belief. Given that the subjects surveyed were chosen without replacement, the events aren't independent. Can the probability be found by using binomial probability formula? Why or why not?
Choose the correct answer below.
A. Yes. There are a fixed number of selections that are independent, can be classified into two categories, and the probability of success remains the same.
B. No. The selections are not independent, and the 5% guideline is not met.
C. No. The selections are not independent.
D. Yes. Although the selections are not independent, they can be treated as being independent by applying the 5% guideline.