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You have a multi processor computing system where you are allowed to have 3 different jobs...

You have a multi processor computing system where you are allowed to have 3 different jobs running one 3 different processors. While these jobs finish, your system can perform maintenance tasks to keep the system running. As soon as the first job finishes, the system must stop the maintenance tasks to attend to the completed job. Assume we send 3 jobs to the 3 different processors. The time each job will take to finish is exponentially distributed with mean 10.

1. Let M represent the time you can spend performing maintenance tasks. Find the PDF of M, fM(m)

2. Find the expected value of M, E[M]

Math   Statistics-And-Probability   
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