Question No. 1:

Suppose that for a recent admission for a university, an NZSH university received 3,851 applications for early admission. Of this group, it admitted 1,533 students initial, excluded 1104 outright, and postponed 1214 to the regular admission pool for further consideration. In the past, this university has admitted 20% of the deferred early admission applicants during the regular admission process. Let I, E, and P represent the events that a student who applies for early admission is admitted initial, excluded outright, or postponed to the regular admissions pool.

a)Use the data to estimate P(I), P(E), and P(P).

b)Are events I and E mutually exclusive? Find

c)Suppose a student applies for early admission. What is the probability that the student will be admitted for initially admission or be postponed and later admitted during the regular admission process?