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Probability for availability and failure of the system

A software system is designed so that after every hour of normal operation, it stops and relaunches from its initial state. This process is called software rejuvenation. Presume that the mean time to failure for the software is measured to be 10 hours and mean time to repair is 5 minutes. Repair means restoring the software to an operating condition by relaunching it from its initial state.

a. What is the reliability of system after 4 successful hours of execution and four successful rejuvenations?

b. What is the probability of failure of the system for any 4 hours of operation?

c. What is the availability of the system where R(t) = e -λt , where R is reliability, c is the reciprocal of the mean time to failure, and t is the execution time. Note that ex is approximately (1 + x) for small x.
Using R(t) = e -λt

Statistics and Probability, Statistics

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