Question

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?

choose the correct answer:

A)No. The selections are not​ independent, and the​ 5% guideline is not met.

B) No. The selections are not independent

C) Yes. Although the selections are not​independent, they can be treated as being independent by applying the​5% guideline.

D) 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.

Answer 1

the answer is "D"

Explanation:

yes.

to use binomial probability formula, there are some detailed that need to be given. All the needed parameters are given in the question. For this question, there are fixed number of selection that are independent: 12% among 1236 adult believe and 2% among 30 adults did not believe.

With this information, the probability can be determined using binomial probability formula.