A Gallup poll of 1236 adults showed that 12 of the responden

A Gallup poll of 1236 adults showed that 12% of the respondents believe that it is bad luck to walk under a ladder. Consider the probability that among 30 randomly selected people from the 1236 who were polled, there are at least 2 who have that belief. Given that the subjects surveyed were selected without replacement, the events are not independent. Can the probability be found by using the binomial probability formula? Why or why not?

Solution

Yes the probability can be found by using the binomial probability formula because this is a random sample so 1236 of all have equal chance to chosen in the sample so by using n=30   and p=0.12   we get the rquired probability.