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For the sampling plan defined by N=1500, n=150, c=2 3. Develop the Operational Characteristics Curve. With...

For the sampling plan defined by N=1500, n=150, c=2

3. Develop the Operational Characteristics Curve. With this plan, what is the probability of acceptance for a batch that contains 2% non-conforming material?

4. Develop the Average Total Inspection curve. With this plan, what is the average total inspection for batches that contain 2% non-conforming material?

Math   Statistics-And-Probability   
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Answer #1

Poisson approximation is used

p n np pa ATI
0 150 0 1 150
0.005 150 0.75 0.959495 204.6823
0.01 150 1.5 0.808847 408.0568
0.02 150 3 0.42319 928.6934
0.03 150 4.5 0.173578 1265.67
0.04 150 6 0.061969 1416.342
0.05 150 7.5 0.020257 1472.653
0.06 150 9 0.006232 1491.587
0.07 150 10.5 0.001835 1497.523
0.08 150 12 0.000522 1499.295
0.1 150 15 3.93E-05 1499.947

Probability of acceptance at 2% defective=0.42319

Average Total inspection =929

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