Find the extinction probability for the case where s are distributed as in Exercise 7 and X
Question:
Find the extinction probability for the case where ξ’s are distributed as in Exercise 7 and X0 is Poisson with parameter λ.
Exercise 7
Show that for the case fk = 0, k > 2, the extinction probability is the same as in Example 1-1. Connect the condition f2 > f0 with the condition μ > 1. (Advice: When solving (1.3), use the fact that f1 = 1−( f0+ f2).)
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