Hello - I am confused on my review problem.

1. Of 25 rats in a cage, 12 are males and 10 are infected with a virus that causes hemorrhagic fever. Of the 12 male rats, 8 are infected with the virus. One rat is randomly selected from the cage. (Hint: Write first down a contingency table with two events. "the selected rat is infected" and \"the selected rat is male\" .) (a) If the selected rat is found to be infected, what is the probability that it is a female? (b) If the selected rat is found to be a male, what is the probability that it is infected? (c) Are the events \"the selected rat is infected" and \"the selected rat is male\" independent? Why or why not? (d) Are the events \"the selected rat is infected" and "the selected rat is male\" disjoint? Why or why not