61. A system has a random number of flaws that we will suppose is Poisson distributed with...

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61. A system has a random number of flaws that we will suppose is Poisson distributed with mean

c. Each of these flaws will, independently, cause the system to fail at a random time having distribution G. When a system failure occurs, suppose that the flaw causing the failure is immediately located and fixed.

(a) What is the distribution of the number of failures by time t?

(b) What is the distribution of the number of flaws that remain in the system at time t?

(c) Are the random variables in parts

(a) and

(b) dependent or independent?

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Introduction To Probability Models

ISBN: 9780080467825

9th Edition

Authors: Sheldon M Ross

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Question Posted: Sep 14, 2024 07:01 AM

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61. A system has a random number of flaws that we will suppose is Poisson distributed with...

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Introduction To Probability Models

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