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The offspring distribution of a branching process {Z.: n = 1.2. ... } is geometric

The offspring distribution of a branching process {Z.: n = 1.2. ... } is geometric

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The offspring distribution of a branching process {Zn; n = 1, 2,...} is geometric distribution with parameters 0.4. If (Z = 1 and G₁(s) be the probability generating functions of distribution of the n-th generation; n=1,2,3.. Find (round off to three decimal points) (i) G3(0) G4(0) G5(0) (ii) the probability that the time that the process first goes into extinction is at the fifth generation
Transcribed Image Text:The offspring distribution of a branching process {Zn; n = 1, 2,...} is geometric distribution with parameters 0.4. If (Z = 1 and G₁(s) be the probability generating functions of distribution of the n-th generation; n=1,2,3.. Find (round off to three decimal points) (i) G3(0) G4(0) G5(0) (ii) the probability that the time that the process first goes into extinction is at the fifth generation
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