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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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
Transcribed Image Text: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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