Your neighbor wants to check whether he has a particular disease. 0:1% of the population have the disease. There are two tests for the disease: Test A and Test B. If a person has the disease, then Test A and Test B say "YES" with probability 0.95 and 0.90, respectively. If a person doesn't have the disease, then Test A and Test B say NO" with probability 0.96 and 0.98, respectively. The two events "Test A says YES" and "Test B says YES" are conditionally independent given that a person has the disease, and are also conditionally independent given that a person does not have the disease. Your neighbor takes both tests, and both tests say "YES". What is the probability that your neighbor has the disease? Show your work.