A component's lifetime has an exponential distribution with an expectation of T = 3100 hours. What is the probability it will fail prior to the time of 2900 hours? Sate your answer rounded to three decimal places.
Since we know that
For an exponential distribution
Probability density function
x = 2900
P(X < 2900.0) = ?
P(X < 2900.0) = 1-e^{-0.0003*2900.0}
P(X < 2900.0) = 0.581
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