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Compute probability that the chain will be absorbed

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Question: Consider a branching process as defined in 1.55, in which each family has a number of children that follows a shifted geometric distribution: pk = p(1 - p)k for k ≥ 0, which counts the number of failures before the first success when success has probability p. Compute the probability that starting from one individual the chain will be absorbed at 0.

Reference no: EM131754150

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