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Six Sigma Defects Question

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In the Measure phase book of the Black Belt six sigma, there's a statement that says that 2 defects per billion (yes Billion with a "B") opportunities constitute six sigma level in the long term. However, we also know that six sigma level for short term is 3.4 defects per Million opportunities. How do you explain this? How can the defects allowed for the same sigma level decrease even though the opportunites increase 1000 fold?

So if there are 3.4 defects in million opportunities (short term), shouldn't there be 3.4 multiplied by 1000 defects (340 defects) in a billion opportunities (same short term). Why is it NOT so?

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