ponent has two states: 0 = off and 1 = operating. In state 0, the pro an exponential amount of time with rate a, and then moves to stat in exponential amount of time with rate ß in state 1 after which the system consists of two such components A and B. Assume the am s spend in the states are independent of one another and have rates Component Off Rate (a) Operating Rate (8) 4 A 2 B 3 6 ous-time Markov chain with states (0,A,B,2} representing the com Enumerate the transition rates v; and the transition probabilities p

ponent has two states: 0 = off and 1 = operating. In state 0, the pro an exponential amount of time with rate a, and then moves to stat in exponential amount of time with rate ß in state 1 after which the system consists of two such components A and B. Assume the am s spend in the states are independent of one another and have rates Component Off Rate (a) Operating Rate (8) 4 A 2 B 3 6 ous-time Markov chain with states (0,A,B,2} representing the com Enumerate the transition rates v; and the transition probabilities p

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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Question

Please answer asap. Do not answer if you already did and do not use answers from other sources.

.A certain type component has two states: 0 = off and 1 = operating. In state 0, the process
remains in the state an exponential amount of time with rate o, and then moves to state 1. The
component spends an exponential amount of time with rate 3 in state 1 after which the process
returns to state 0. A system consists of two such components A and B. Assume the amounts of
time the components spend in the states are independent of one another and have rates given by
the following.
Component
Off Rate (a)
Operating Rate (8)
4
A
2
B
3
6
Consider the continuous-time Markov chain with states {0,4,B,2} representing the component
currently operating. Enumerate the transition rates v; and the transition probabilities pij of the
Markov chain.

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