# If a complex product has 10,000 parts that function independently, what is the probability that any…

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?

(c) Now suppose that we have a Six Sigma process without mean shift for each part of the complex product that has 10,000 parts. What is the probability that any specific unit of the product will be nondefective?

(d) Now suppose that we have a Six Sigma process with mean shifted for each part of the complex product which has 10,000 parts. What is the probability that any specific unit of the product will be nondefective?