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Question: Of 20 rats in a cage, 12


Of 20 rats in a cage, 12 are males and 9 are infected with a virus that causes hemorrhagic fever. Of the 12 male rats, 7 are infected with the virus. One rat is randomly selected from the cage.
(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?

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