Give step by step solution......

8. Two factories, one in the South and one in the North, manufacture iden- tical high-precision items for a company. The factory in the North manu- factures one defective item every 1000 on the average, while the factory in the South manufactures one defective item every 950, on the average. A quality control inspector for the company receives a batch of items from one of these two factories. She does not know from which one, and thinks it is equally likely to be from either. She analyses the first item from the batch and finds it to be not defective. She then computes the (conditional) probability that the second item too is not defective. What is it? A [ ] 0.789812 B [ ] 0.985241 C [ ] 0.999472 D [ ] 0.998974