The registrar of a large university knows that 30% of the students come to college with credit for an advance placement (AP) course. The registrar is going to conduct interviews with students regarding their experiences at the university. Depending on which students are chosen, the proportion of students in the sample that have AP credit may vary.

In a sample of 100 students, what is the probability that over 38% of the sample has AP credit?

In a sample of 200 students, what is the probability that over 31% of the sample has AP credit?