4.3 Consider a Three Sigma process where the mean is at the target value. As dis

Question

4.3 Consider a Three Sigma process where the mean is at the target value. As discussed
in this chapter, this gives a probability of meeting the specifications as 0.9973
which corresponds to 2,700 defective parts per million.

(a) If a product consists of an assembly of 100 independent parts and all of these
parts must be nondefective for the product to function successfully, what is the
probability that any specific unit of the product is nondefective?

(b) If a complex product has 10,000 parts that function independently, what is the
probability that any specific unit of the product will be nondefective?

Explanation / Answer

a) probability that any specific unit of the product is nondefective =P( all 100 units function properly)

=(0.9973)100 =0.763101

b)probability that any specific unit of the product will be nondefective =(0.9973)10000 =1.8*10-12

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