Question

Eighty-five mall customers were randomly surveyed across the state to determine if the live entertainment provided had increased the amount of money they spent. Can the probability be found by using the binomial probability formula?

a. No. The trials are fixed, but the events are independent and the 5% guideline does not apply to this situation.

b. Yes. The events are dependent; however, the 5% guideline can be applied to this situation.

c. Yes. The outcomes can be classified into two categories: the trials are fixed, and the events are independent.

d. No. The events are dependent.

I think it is yes, but I don't know why.

Answer 1

Here 85 mall customers were randomly surveyed. We have that each customers is independent of the other for the state o determine if the live entertainment provided had increased the amount of money they spent.

Hence probability for each person to say yes can be taken as p and q =1-p for no reply. There are only two outcomes.

Hence the probability can be found using binomial probability formula provided p = probability for success of a single trial is given.

Therefore,

Answer: c. Yes. The outcomes can be classified into two categories: the trials are fixed, and the events are independent.