Early in October COMSATS discovers that it can accommodate a few extra students. Enrolling those additional students would provide a substantial increase in revenue without increasing the operating costs of the university; that is, no new classes would have to be added. From experience the university knows that the frequency of enrollment given admission for all students is 40%.

a.What is the probability that at most 4 students will enroll if the college offers admission to 10 more students?

b.If the frequency of enrollment given admission for all students was 70%, what is the probability that at least 12 out of 15 students will enroll?