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GATE 2022 PI – Question 32

Quality and Reliability · Reliability and Maintenance · 1 mark · Numerical answer

A machine has two motors but needs only one to function. Their reliabilities are 0.90 and 0.70. Find machine reliability to two decimals.

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Correct answer: 0.96 to 0.98

Explanation

Assuming independent failures, the machine fails only if both motors fail. Failure probability = (1−0.90)(1−0.70) = 0.03. Reliability = 1−0.03 = **0.97**.

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