Answered: What does population vector,…

What does population vector, Π=(P1,P2,P3r,P3w)T mean ? How do this formula describe the overall state probability? (there are state 1, state 2 and state 3w, 3r)

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

What does population vector, Π=(P1,P2,P3^r,P3^w)^Tmean ? How do this formula describe the overall state probability?

(there are state 1, state 2 and state 3w, 3r)

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Then, what does the equation d/dt Π = MΠ mean?

(where M is a 4x4 transition rate matrix)

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