1. A medical research company has developed an imaging modality that detects a rare disease that

affects one person in 100,000. The test has a 98% accuracy in detecting the disease if a person has it (this

is called a positive result), and a 1% chance of yielding a positive result on a person who does not have

the disease (this is called a false positive). You decide to take the test and find that you test positive. What

is the probability that you actually have the disease? (Hint: Let T+ be the event "test positive" and D be

the event "you have the disease." It is given that P (T+ID) = 0.98 and P(T+IDC) = 0.01 where DC is the

complement of event set D. You want to know P(DIT+), so you should consider using Bayes' Rule.)