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,...

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Extracted 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