## [answered] A computer server runs smoothly for Exp(0.2) days and then

A computer server runs smoothly for Exp(0.2) days and then takes Exp(0.5) days to x. ( See picture for better formatted question! I appreciate if you could give step-to-step solution. Thanks! )The server?is running fine?on Monday morning, t = 0.

1. Find the probability that the server was fixed at least once (i.e. at least one complete repair?was done) in the next 7 days.

2. Find the probability that the server was down on Friday t = 4 given that it was running?next Sunday t = 6. Note that here we are conditioning on the `future'.

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This question was answered on: Sep 18, 2020

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