Math

(1) At a small western college, the following is the data of the student body. 400 female students 250 seniors 200 students were on The Dean's list 120 female seniors 95 female s on the Dean's list 75 seniors on the Dean's list 25 female seniors on the Dean's list 415 males were not seniors and not on the Dean's list (a) Draw a Venn diagram to illustrate this problem. (b) Answer the following questions: How many (i) students were surveyed? (ii) male students on the Dean's list? (iii) female seniors were not on the Dean's list? (c) If one subject is selected at random from the group, what is the probability that he/she was (i) a senior or a female student? (ii) male but not a senior? (iii) neither a senior nor on the Dean's list