Question:
A curve showing the probability of accepting a lot of quality p is known as:
A curve showing the probability of accepting a lot of quality p is known as:
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Think of P_a(p) plotted against p. That defines the Operating Characteristic curve.
Updated On: Jul 4, 2026
- OC curve
- ASN curve
- ATI curve
- AOQL curve
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The Correct Option is A
Solution and Explanation
Step 1: In acceptance sampling theory, several curves describe how a sampling plan performs as the incoming lot fraction defective p varies.
Step 2: The Operating Characteristic (OC) curve plots the probability of accepting the lot, \(P_a(p)\), against the true fraction defective p of the lot. It is the fundamental curve used to judge the discriminating power of a sampling plan.
Step 3: The ASN curve shows the average sample number needed as a function of p, the ATI curve shows the average total inspection as a function of p, and AOQL is a single fixed value (the worst average outgoing quality), not a curve of acceptance probability.
Step 4: Since the question asks for the curve of the probability of accepting a lot of quality p, this is exactly the definition of the OC curve.
Final Answer: Option (A), OC curve.
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