In: Statistics and Probability
Please answer the question (c)
For simplicity, assume that CUHK has only four colleges: Chung Chi, New Asia, United, and Shaw. Let C,N,U, and S be the sets of all Chung Chi students, New Asia students, United students, and Shaw students, respectively. Let M be the set of all Music Major students. Let Y be the sets of all students living in Ying Lin Tang (a Chung Chi hostel). Let W be the set of all students who attended the Wei Lun Lecture.
(a) Express the following in set-theoretic terms:
vii. New Asia students who did not attend the 2015 Wei Lun Lecture.
(c) Show that for a student not belonging to Category vii in (a), if the student did not attend the 2015 Wei Lun Lecture, then the student does not belong to New Asia.
If a student doesn't belong to the category in (a) and also doesn't attend the Wei Lun Lecture, then he is not from New Asia.