In: Statistics and Probability
1. A study was conducted to determine whether there were significant difference between medical students admitted through special programs (such as affirmative action) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 94% for the medical students admitted through special programs (based on data from the Journal of the American Medical Association).
(a) If 10 of the students from the special programs 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 at most 7 of them graduated? Why or why not?
(c) Find the mean, variance and standard deviation.
(d) Is it unusual to have only 6 medical students from the special program graduated?