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6. Below is the joint probability distribution of viral infection and strain in a population of...

6. Below is the joint probability distribution of viral infection and strain in a population of rats. Strain ! A B C Infected 0.25 0.19 0.03 Not infected 0.19 0.17 0.17 (a) If we randomly sample a rat, what is the probability it is infected with the virus? (b) If we randomly sample a rat, what is the probability it is of strain A? (c) What is the strain distribution among infected rats? (d) Are the random variables strain and infection independent?

strain A B C

INFECTED

 0.25 0.19 0.03
NOT INFECTED 0.19 0.17 0.17
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