Question

A company performs a statistical analysis of their quality control check system. They find the following:

The QC department reports that 5.64% of their products fail inspection.

A recheck, with a more rigorous and accurate testing method, of a sample of the QC inspections finds errors in the QC testing. In this test it is discovered that the actual defect rate is 4.00%, and QC mistakingly declared 2.00% of the good parts to be defective, and mistakingly declared 7.00% of the defective parts to be good.

What are the probabilities that:

Parts passed by QC that are out of specification

Parts failed by QC that are within specification

Parts passed by QC that are within specification

Parts failed by QC that are out of specification

All answers MUST be in 4 decimal place form.

Example answer: 0.1234

Any other answer format will counted incorrect.

Answer 1