Jobs arriving to a computer have been found to require CPU time that can be modelled by an exponential distribution with parameter 1/140 per millisecond. The CPU scheduling discipline is quantum-oriented so that jobs not completing within a quantum of 100 milliseconds will be routed back to the tail of the queue of waiting jobs. Find the probability that an arriving job will be forced to wait for a second quantum. Of the 800 jobs coming in during a day, how many are expected to finish within the first quantum.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Jobs arriving to a computer have been found to require CPU time that can be modelled by an exponential
distribution with parameter 1/140 per millisecond. The CPU scheduling discipline is quantum-oriented so
that jobs not completing within a quantum of 100 milliseconds will be routed back to the tail of the queue
of waiting jobs. Find the probability that an arriving job will be forced to wait for a second quantum. Of the
800 jobs coming in during a day, how many are expected to finish within the first quantum.
Transcribed Image Text:Jobs arriving to a computer have been found to require CPU time that can be modelled by an exponential distribution with parameter 1/140 per millisecond. The CPU scheduling discipline is quantum-oriented so that jobs not completing within a quantum of 100 milliseconds will be routed back to the tail of the queue of waiting jobs. Find the probability that an arriving job will be forced to wait for a second quantum. Of the 800 jobs coming in during a day, how many are expected to finish within the first quantum.
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The exponential distribution has a parameter of 1 over 140 milliseconds.

The CPU scheduling discipline is quantum-oriented so that jobs not completed within a quantum of 100 milliseconds will be routed back to the tail of the queue of waiting jobs.

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