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ProbabilityQ&A LibraryYou are given two components, component A and component B, and suppose their lifetimes, in hours, are expo-nential with parameters XA and AB, respectively. Further, assume that their lifetimes are independent.(a) If AA AB = 1/25, how many hours, on average, does the component that lives longer outlive the othercomponent by?(b) If AA 1/25 and AB = 1/20, what is the probability component A outlives component B?Question

Asked Dec 3, 2019

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Step 1

According to the provided data,

Step 2

a. The concept of memory less property is used here, that is, if *X~exp(λ)*, then *P(X>t+s|X>s) = e-dt*. Therefore, even elapsing or expanding ‘*s*’ unit of time *X* still follows exponen...

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