Two core in a CPU serve jobs from a single queue. The time it takes one core to serve a randomly selected job is distributed as Expo() so that his average service time is 5 minutes. The other, more powerful core's service times are distributed as Expo(1), averaging 4 minutes. Cores work independently. Both cores are busy and a new job arrives in the queue. 1. In the lecture we derived the probability it will be longer than 5 minutes before the new job started to be served. Write a R code to simulate the problem and verify the result in Part 1.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Two core in a CPU serve jobs from a single queue. The time it takes one core to serve a randomly selected
job is distributed as Expo() so that his average service time is 5 minutes. The other, more powerful core's
service times are distributed as Expo(1), averaging 4 minutes. Cores work independently. Both cores are
busy and a new job arrives in the queue.
1. In the lecture we derived the probability it will be longer than 5 minutes before the new job started to
be served. Write a R code to simulate the problem and verify the result in Part 1.
Transcribed Image Text:Two core in a CPU serve jobs from a single queue. The time it takes one core to serve a randomly selected job is distributed as Expo() so that his average service time is 5 minutes. The other, more powerful core's service times are distributed as Expo(1), averaging 4 minutes. Cores work independently. Both cores are busy and a new job arrives in the queue. 1. In the lecture we derived the probability it will be longer than 5 minutes before the new job started to be served. Write a R code to simulate the problem and verify the result in Part 1.
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