Question: (30 points) 3. Jobs arriving at a computer server have been found to require CPU time that can be modeled by an Exponential distribution

(30 points) 3. Jobs arriving at a computer server have been found to require CPU time that can be modeled by

(30 points) 3. Jobs arriving at a computer server have been found to require CPU time that can be modeled by an Exponential distribution with parameter 2 = 1/140 per milliseconds. The CPU scheduling discipline is quantum oriented so that a job not completing within a quantum of 100 milliseconds will be routed back to the tail of the queue of waiting jobs. Write the expressions, and then compute the probabilities using R. a) Find the probability that an arriving job is forced to wait for a second quantum. (10 points) b) Find the probability that an arriving job does not wait for a third quantum, given that it has not completed after the first quantum. (13 points) c) of the 800 jobs coming in during the day, how many are expected to finish in the first quantum? (7 points)

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