(See) (15 points, page 275, problem 66) For a branching process, calculate the probability of extinction π , when: p_0=1/4, p_2=3/4 p_0=1/4, p_1=1/2,
Question: (15 points, page 275, problem 66) For a branching process, calculate the probability of extinction \(\pi \), when:
- \({{p}_{0}}=\frac{1}{4},\,\,{{p}_{2}}=\frac{3}{4}\)
- \({{p}_{0}}=\frac{1}{4},\,{{p}_{1}}=\frac{1}{2},\,{{p}_{2}}=\frac{1}{4}\)
- \({{p}_{0}}=\frac{1}{6},\,{{p}_{1}}=\frac{1}{2},\,{{p}_{2}}=\frac{1}{3}\)
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