The production process for an electronic product has 12 majo

The production process for an electronic product has 12 major steps. If each of the first six production steps is at a 5 sigma quality level and the remaining steps are at a 5.5 sigma quality level, caluculate the total prercentage of error-free products manufactured.

Solution

The probability that error free product manufactured = .999767233^6*.99996832^6 =.998604208*.999809935= .9984

99.84%

Explanation : 5 sigma means for every million you produce 99976723 is defect free and 5.5 sigma 99996832 is defect free. In the above question 6 machines are 5 sigma ( 6 times multiplied ) and remaining 6 machines are 5.5 sigma ( 6 times multiplied)