# The average CPU time per request is known to be 4.39 s for a compute server. Weclassify

## Problem 1 Chapter 4.7

Probability and Statistics with Reliability, Queuing, and Computer Science Applications | 2nd Edition

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Probability and Statistics with Reliability, Queuing, and Computer Science Applications | 2nd Edition

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Problem 1

The average CPU time per request is known to be 4.39 s for a compute server. Weclassify a request as a trivial request if it takes less than 1 s of CPU time, a mod-erate request if it takes between 1 and 5 s of CPU time, and a number-crunchingrequest otherwise.(a) Obtain a bound on the probability that a given request is a number-crunching request.(b) Obtain a bound on the probability that a given request is not a trivialrequest.Now, assume that the CPU time per request is exponentially distributed withmean 4.39 s. Recompute the two bounds.

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