Jobs arrive at a processing centre in accordance with a Poisson process at a mean rate of two/day, and the operation time has an average exponential distribution of 0.25 days. This centre has enough space for the material to be processed to take on three jobs besides that it is already processing. Additional works are kept temporarily in a less convenient place. What proportion of time is suitable for the space that the processing centre has to keep all the jobs that arrive? (That is, what proportion of a day you do not need extra space?)

Jobs arrive at a processing centre in accordance with a Poisson process at a mean rate of two/day, and the operation time has an average exponential distribution of 0.25 days. This centre has enough space for the material to be processed to take on three jobs besides that it is already processing. Additional works are kept temporarily in a less convenient place. What proportion of time is suitable for the space that the processing centre has to keep all the jobs that arrive? (That is, what proportion of a day you do not need extra space?)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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