Question: 5. Consider a branching process with offspring distribution {51%th and assume 0 0), they invite an immigrant to join them (that is, X1 is replaced

 5. Consider a branching process with offspring distribution {51%th and assume

5. Consider a branching process with offspring distribution {51%th and assume 0 0), they invite an immigrant to join them (that is, X1 is replaced by X1 + 1). After that the evolution continues according to the usual rule. In particular, no further immigration takes place. Find the extinction probability fr of this new process. Express it in terms of g and the original extinction probability 77. Do we have 7\"?

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