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GATE 2026 PI – Question 49

Quality and Reliability · Quality Management · 2 marks · Multiple select

For the ideal OC curve shown, p₀ is acceptable quality level (AQL) and p₁ is lot tolerance percent defective (LTPD). Which ONE OR MORE statements are true?

Diagram for GATE 2026 PI question 49
  1. Producer’s risk is 100%.
  2. Consumer’s risk is 100%.
  3. Producer’s risk is zero.
  4. Consumer’s risk is zero.

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Show answer and explanation

Correct answer: (C) Producer’s risk is zero.; (D) Consumer’s risk is zero.

Explanation

Producer’s risk is $\alpha=1-P_a(p_0)$; the ideal curve accepts acceptable lots with probability one, giving α = 0. Consumer’s risk is $\beta=P_a(p_1)$; the curve rejects bad lots with probability one, giving β = 0. **C,D**.

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