The GATE Grind

GATE 2021 PI – Question 36

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

Four independent out-of-control rules are used simultaneously. Their Type-I error probabilities are 0.005,0.02,0.03,0.05. Find overall Type-I error probability.

  1. 0.101
  2. 0.201
  3. 0.001
  4. 0.301

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Show answer and explanation

Correct answer: (A) 0.101

Explanation

A false signal occurs if at least one rule signals. Probability of no false signal is $(1-0.005)(1-0.02)(1-0.03)(1-0.05)=0.89895465$. Complement is 0.10104535, or **0.101, A**.

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