Question: Problem 1 Find the probability generating function of X, the expectation and variance at generation n, and the probability of extinction of the branching process

Problem 1 Find the probability generating function of X, the expectation and variance at generation n, and the probability of extinction of the branching process associated with the following reproduction laws X: a. P(X = 0) = = and P(X = 2) = 2. b. X ~ Binomial (2, 4)

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