In a certain university,the faculties A , B , C , D and E account for 15%, 20%, 25%, 10%, and 30%,respectively ,for the total admission . Suppose 5%, 5%, 8%, 3%,and 16% of the students from the respective faculty are female students. What is the probability that a female student selected at random can come from (1)faculty A (b)faculty B (3)faculty C (4)faculty D (5)faculty E ?

If you are talking about each faculty member, the probability of female students from faculty A is 5%, B 5%, etc.

If you are talking about the total, it is

.05(.15) + .05(.20) + .08(.25) + etc.