This is a probability problem on a past exam for my university. It asks....
A test correctly identifies a disease in 95% of people who have it. I correctly identifies no disease in 94% of people who don't have it. In the population, 5% of people have this disease. A person is tested at random.
1. What is the probability that they will test positive?
2. what is the probability that they have the disease given that they tested positive.
I'm useless at probability but I have a feeling that this has something to do with the multiplication law. I just can't seem to figure out how this would be done. I know that the second part would be like...
P(person actually has the disease | person tested positive)
Could anyone point me in the right direction??