A certain virus infects 5% of the population. A test used to detect the virus in a person is positive 80% of the time if the person has the virus, and 10% of the time if the person does not have the virus.

a. What is the probability that a randomly selected person tested positive and has the virus?

b. What is the probability that a randomly person tested positive and has the virus?

c. What is the probability that a randomly get a positive test result?