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A routine exercise designed to test one's knowledge; often from a textbook, course, or test used for a class or self-study. This community's policy is to "provide helpful hints" for such questions rather than complete answers.
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Proving the expectation of a variable in a stochastic process
Problem
Information packets arrive at a server with a poisson process having rate $\lambda = 2$ per hour.
The server processing time for a packet follows the distribution : $f(x) = 1, 0\leq x\leq1$
Th …