2. [24 pts] Seventy-five percent of the students applying to a university are accepted. Using the binomial probability, what is the probability that among the next 18 applicants a) [4 pts] At least 6 will be accepted? b) [4 pts] Exactly 10 will be accepted? c) [4 pts] Exactly 8 will be rejected? d) [4 pts] Fifteen or more will be accepted? e) [4 pts] Determine the expected number of acceptances. f) [4 pts] Compute the standard deviation