An assembly consists of 5,500 specified quality characteristics. It is assumed that if any one of these characteristics is out of spec, then the assembly will not meet its specified requirements. Given that: a. 1,000 characteristics follow pure (short-term) 3 sigma quality. b. 4,000 characteristics follow 6-sigma quality (long-term) c. 500 characteristics follow pure (short-term) 6 sigma quality Over a period of 2 years. What is the probability that this assembly can operate defect-free during this 2 year period.