Six Sigma is an industry standard for quality management. If a company meets the six sigma standard, it produces no more than 3.4% defective parts in one million.

Because of poor equipment, workforce and management, the company just achieves a three sigma level. How many defective parts in one million does it produce?

Due to significant improvements, the company achieves a five sigma level. How many defective parts in one million does it produce?

Please do not use the numbers you find on internet. You need to show the procedure on how you figure out the correct answer, to draw the plots and indicate your results on the plots for the full credit.