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GATE 2023 PI – Question 54

Quality and Reliability · Reliability and Maintenance · 2 marks · Numerical answer

A system has 10 essential components, each with exponential failure rate 0.04 per 4000 hours. Find system mean time to failure in hours (integer).

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Correct answer: 10000 to 10000

Explanation

Each component rate is $\lambda=0.04/4000=10^{-5}$ h⁻¹. For independent essential components the series-system survival is $e^{-10\lambda t}$, giving system rate 10⁻⁴ h⁻¹. Its mean is reciprocal rate: **10000 hours**.

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