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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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Question

Suppose you have a branching process with the following given probabilities that each individual in
the current generation will, by the end of its lifetime, have produced j new offspring (j = 0, 1, 2, ...).
Find the probability that each of these branching processes will eventually die out under the
lassumption that X0 = 1.
• PO = 14, P2 = 3 4.
• PO = 14, P1 = 12, P2 = 14.
• PO = 16, P1 =12, P3 = 13.
• PO = 1 10 , P1 = 2 10 , P2 = 3 10 , P3 = 4 10

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