3.8.2 Let Z=0X be the total family size in a branching process whose offspring distribution has a mean μ=E[] < 1. Assuming that Xo = 1, show that E[Z] = 1/(1-u).
3.8.2 Let Z=0X be the total family size in a branching process whose offspring distribution has a mean μ=E[] < 1. Assuming that Xo = 1, show that E[Z] = 1/(1-u).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![3.8.2 Let Z=0X be the total family size in a branching process whose offspring
distribution has a mean μ=E[] < 1. Assuming that Xo = 1, show that E[Z] =
1/(1 - μ).
==](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba18de34-fc06-47a6-b1ea-c54726b84874%2F29e2109f-a670-4952-ac62-5dd074085d1c%2Fyvx49iu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.8.2 Let Z=0X be the total family size in a branching process whose offspring
distribution has a mean μ=E[] < 1. Assuming that Xo = 1, show that E[Z] =
1/(1 - μ).
==
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