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Question: Hazard rates. Suppose a component with constant failure rate λ is backed up by a second similar component. When the first component burns out the second is installed, and is thereafter subject to failure at the same rate λ, independently of when it was installed and how long it has been in use. Let T be the total time to failure of both components. Find for T:

a) The density function: b) the survival function: c) the hazard rate function.

b) Suppose λ = 1 per hour. Given T > 2 hours, what is the approximate probability of failure in the next minute?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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