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# In a factory, a certain machine operates for a period

ISBN: 9780131453401 223

## Solution for problem 11 Chapter 7.3

Fundamentals of Probability, with Stochastic Processes | 3rd Edition

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Fundamentals of Probability, with Stochastic Processes | 3rd Edition

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Problem 11

In a factory, a certain machine operates for a period which is exponentially distributed with parameter . Then it breaks down and will be in repair shop for a period, which is also exponentially distributed with mean 1/. The operating and the repair times are independent. For this machine, we say that a change of state occurs each time that it breaks down, or each time that it is fixed. In a time interval of length t, find the probability mass function of the number of times a change of state occurs.

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Lecture 9/25/2017 → Chapter 3: Probability ← SECTION 3.1 Probability: A number between 0 and 1 representing how likely it is that an event will occur. Random Experiment: An experiment whose outcome is not known until it is observed. Sample Space (S): a set of outcomes of a random experiment.  Every possible outcome must be listed once and only once. Sample Point:...

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##### ISBN: 9780131453401

Fundamentals of Probability, with Stochastic Processes was written by and is associated to the ISBN: 9780131453401. This full solution covers the following key subjects: . This expansive textbook survival guide covers 59 chapters, and 1142 solutions. The answer to “In a factory, a certain machine operates for a period which is exponentially distributed with parameter . Then it breaks down and will be in repair shop for a period, which is also exponentially distributed with mean 1/. The operating and the repair times are independent. For this machine, we say that a change of state occurs each time that it breaks down, or each time that it is fixed. In a time interval of length t, find the probability mass function of the number of times a change of state occurs.” is broken down into a number of easy to follow steps, and 92 words. The full step-by-step solution to problem: 11 from chapter: 7.3 was answered by , our top Statistics solution expert on 01/05/18, 06:24PM. Since the solution to 11 from 7.3 chapter was answered, more than 218 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Fundamentals of Probability, with Stochastic Processes, edition: 3.

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