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A process has a rolled throughput yield of 0.38057 for 10 operations. Determine Ynorm, Defects per...

A process has a rolled throughput yield of 0.38057 for 10 operations. Determine Ynorm, Defects per normalized unit, and Z benchmark.

  1. Determine Ynorm:

  1. Determine Defects per normalized unit:

  1. Determine Z benchmark:
Math   Statistics-And-Probability   
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Answer #1

A process has a rolled throughput yield of 0.38057 for 10 operations.

a) The formula of finding Ynorm is as follow:

YRT = 0.38057, m = 10

Plug these values in the above formula , we get:

b) The formula of Defects per normalized unit is as follow:

DPUnorm = - ln ( Ynorm ) = - ln ( 0.907911) = 0.096609

c)  ZBenchmark = ZYnorm + 1.5

Here first we need to find z score for probability = 0.907911

From z table the z score value = ZYnorm = 1.33

So, ZBenchmark = 1.33  + 1.5 = 2.83

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