GATE 2021 PI – Question 11

Quality and Reliability · Reliability and Maintenance · 1 mark · Multiple choice

A product has exponential time to failure with constant failure rate 0.00006 per hour. Find reliability after 4000 operating hours.

Show answer and explanation

Correct answer: (C) 0.7866

Explanation

Exponential survival is $R(t)=e^{-\lambda t}$. Here λt = 0.00006×4000 = 0.24, so R = e⁻⁰·²⁴ = **0.7866, C**.

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