The GATE Grind

GATE 2020 PI – Question 44

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

A lot of1000 is subject to rectifying inspection with single sampling n=60 and acceptance number1. At acceptable quality level1%, find producer’s risk in percent (nearest integer).

  1. 12
  2. 33
  3. 67
  4. 88

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Correct answer: (A) 12

Explanation

Producer’s risk is rejection probability at the acceptable quality level. Using Poisson approximation with λ=np=0.6, acceptance probability=P(X≤1)=e^(−0.6)(1+0.6)=0.8781. Risk=1−0.8781=12.19%, rounding to12%, A. A binomial calculation gives the same listed choice.

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