Question: Consider a linear birth-death process where the individual birth rate is =1, the individual death rate is = 3, and there is constant immigration into

Consider a linear birth-death process where the individual birth rate is =1, the individual death rate is = 3, and there is constant immigration into the population according to a Poisson process with rate .

) Suppose that there are 10 individuals in the population. What is the probability that the population size increases to 11 before it decreases to 9?

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