Thinking about Dr. Akhtar's work on the opioid epidemic in rural communities, let's consider the following scenario. We are interested in looking at the relationship between injection drug use (Event A) and whether someone has hepatitis C (Event B). We are given the following information: The probability that someone has hepatitis C but does not inject drugs is 0.15; the probability that someone injects drugs but does not have hepatitis C is 0.20; and the probability that someone neither injects drugs nor has hepatitis C is 0.4.

Question 1

a.What is the probability that someone injects drugs and has hepatitis CP(AB))?

P(AB))?

b. What is the probability someone has hepatitis C, given that they inject drugs (P(B|A))

P(B|A))?

c. Are the events of someone injecting drugs and getting hepatitis C mutually exclusive? Why or why not?

d. Are the events of injecting drugs and getting the hepatitis C virus independent? Why or why not?