One student is selected at random from a group of 200 students known to consist of 140

Question:

One student is selected at random from a group of 200 students known to consist of 140 full-time (80 female and 60 male) students and 60 part-time (40 female and 20 male) students. Event A is “the student selected is full time,” and event C is “the student selected is female.”
a. Are events A and C independent? Justify your answer.
b. Find the probability P(A and C).