Question: A virus cell (generation 1) can either die with probability 0.1, or divide into two new cells with probability 0.9. If it divides, the two

A virus cell (generation 1) can either die with probability 0.1,

A virus cell (generation 1) can either die with probability 0.1, or divide into two new cells with probability 0.9. If it divides, the two new cells (generation 2) can also die or divide into two new cells (creating generation 3) independently and with the same probabilities as the original cell. Derive the probability distribution of the number of cells, X, in generation 3

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