Among those people who are infected with a certain virus, 32% have strain A, 59% have strain B, and the remaining 9% have strain C. Furthermore. 21% of people infected with strain A of the virus exhibit symptoms, 16% of people infected with strain B of the virus exhibit symptoms, and 63% of people infected with strain C of the virus exhibit symptoms.
(a) If a person has the virus and exhibits symptoms of it. what is the probability that they have strain C?
(b) If a person has the virus but doesn't exhibit any symptoms of it. what is the probability that they have strain A?
(c) What is the probability that a person who has the virus does not exhibit any symptoms of it?