Roller Bearing Inc (RBI) mass produces roller bearing assemblies. Each roller bearing produced by RBI undergoes an automated quality control vibration test. This test catches several defects in the bearings' construction and materials. The test always correctly identifies a defective bearing, however only 90% of the time does the test correctly identify a good bearing. It is known that 60% of bearings entering the vibration test are good. Bearings identified as defective by the vibration test are removed from production and sent to recycling.

- What fraction of bearings are removed from the production process by the vibration test?

- What is the probability that a randomly chosen bearing from the population of rejected bearings is good?