To have a binomial setting, which of the following must be true?

I. When sampling, the population must be at least 20 times as large as the sample size. (Some textbooks say 10 times as large).

II. Each occurrence must have the same probability of success.

III. There must be a fixed number of trials.

A. I only

B. II and III only

C. I and III only

D. II only

E. I, II, and III