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A component's lifetime has an exponential distribution with an expectation of T = 3100 hours. What...

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.

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Answer #1

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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