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?
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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