GATE 2021 CS – Question 28
The lifetime of a component of a certain type is a random variable whose probability density function is exponentially distributed with parameter 2. For a randomly picked component of this type, the probability that its lifetime exceeds the expected lifetime (rounded to 2 decimal places) is ______.
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Show answer and explanation
Correct answer: 0.35 to 0.39
Explanation
With rate 2, E[X]=1/2. P(X > 1/2) = e^{-2*(1/2)} = e^{-1} ≈ 0.37.