A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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A random number N of jobs are to be processed one at a time on a single processor. The processing time of the ith job is exponentially distributed with parameter 1, independent of the other processing times and N. The number of jobs N has a geometric distribution with parameter 1/2. What is the expected value of the total processing time? What is the probability that the total sum of processing times is greater than 2?
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Transcribed Image Text:A random number N of jobs are to be processed one at a time on a single processor. The processing time of the ith job is exponentially distributed with parameter 1, independent of the other processing times and N. The number of jobs N has a geometric distribution with parameter 1/2. What is the expected value of the total processing time? What is the probability that the total sum of processing times is greater than 2?
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