A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as affirmative action) and medical students admitted through regular criteria. It was found that the graduation rate was 94% for medical students admitted through special programs (based on data from the Journal of the American Medical Association).
a. If 10 of the students from special program are randomly selected, find the probability that at least 9 of them graduated.
b. Would it be unusual to randomly select 10 students from the special programs and get only 7 that graduate? Why or why not?