Full, answers please. Please be as clear as possible and use Probabilistic System and notice the units and significant figures please! Urgent

In a production line of computer memory banks, 2% of the items being produced have some defect. On-line inspection tests are used to identify those defective items and remove them. These inspection tests correctly identify defective items with 95% accuracy (sensibility), while they correctly identify non-defective items with 85% accuracy (specificity). Define the event D as "the item is defective". Define the event T as "the test is positive" or, which is the same, "the test tags the item as defective". (a) Define all relevant elemental events: defective, non-defective, true positive, false negative, true negative, false positive, and give the corresponding probabilities. (b) An inspection test is performed on a memory bank randomly picked from the production line. If the inspection test is positive, what is the probability that the item is actually defective? Give the answer with 3 significant digits. (c) To verify the outcome of the first test, the same item is tested again. The outcome of this second test is independent of the first outcome. If, once again, the inspection test is positive, what is the probability that the item is actually defective? Give the answer with 2 significant digits. DELL F4 F5 F6 F7 F8 F9 F10 DH F11 F12