2. Each individual in a population independently has a random number of offspring that is Poisson distributed
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2. Each individual in a population independently has a random number of offspring that is Poisson distributed with mean λ. Those initially present constitute the zeroth generation. Offspring of zeroth generation people constitute the first generation; their offspring constitute the second generation, and so on. If denotes the size of generation n, is a Markov chain. If it is, give its transition probabilities ; if it is not, explain why it is not.
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