About 0.2% of the population has Lyme disease. There is a test that can detect the presence of the disease, but it is not perfect. About 94% of those with Lyme disease test positive, and 97% of those without Lyme disease test negative.

1. Draw a tree diagram for this situation
2. What is the probability that a randomly selected person will test positive for Lyme disease?
3. If a person tests positive for Lyme disease, what is the probability that the person actually has Lyme disease?