I NEED DETAILED EXPLANATION PLEASE

Let's assume we know that X% of adults over the age of 60 have lung cancer, that Y% of adults who have lung cancer will test positive (called a true positive). Y% is the accuracy of the test for people with the disease. Further, assume and Z% percent of adults that do NOT have lung cancer will also test negative (called a true negative). This is the accuracy of the test for people without the disease. Using values of X, Y, and Z that you choose, what is the probability of actually having lung cancer if an adult tests positive for lung cancer? What is the probability of a false negative?