Problem 2 (total 4 points) Assume you are asked to check the performance of a recently adopted camera-based automatic inspection system (AIS), which is used to check the parts' misalignment problem in an assembly process. Due to the camera fixture's vibrations and background lighting noises, AIS may have inevitable detection errors. So, when AIS generates an alarm, the operator will need to do a manual inspection to doublecheck whether the alarmed part has a misalignment problem or not. In the last month of production, 100,000 parts were produced, and 1,000 alarms were generated by AIS. The operator inspected these 1000 alarmed cases and found 150 alarms were false alarms (These 150 parts have no misalignment problem). Based on the above-given data, please briefly justify whether any of the following performance metrics can be evaluated for this inspection system ( 2 points). If yes, you need to calculate the corresponding metric values ( 2 points). (a) 1- (or specificity); (b) 1 (or sensitivity); (c) precision; (d) negative predictive value