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For a branching process, calculate the probability of ex­tinction π , when: (a) {p_0}=1/4, {p_2}

Question: For a branching process, calculate the probability of ex­tinction \(\pi \), when:

(a) \({{p}_{0}}=\frac{1}{4},\,\,{{p}_{2}}=\frac{3}{4}\)

(b) \({{p}_{0}}=\frac{1}{4},\,{{p}_{1}}=\frac{1}{2},\,{{p}_{2}}=\frac{1}{4}\)

(c) \({{p}_{0}}=\frac{1}{6},\,{{p}_{1}}=\frac{1}{2},\,{{p}_{2}}=\frac{1}{3}\)

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Solution: The solution consists of 2 pages
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