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Let (Zn, n 0) be the generation sizes of a Bienayme(B) process. Write Tn = Z0 + . . . + Zn be the total

Let (Zn, n 0) be the generation sizes of a Bienayme(B) process.

Write Tn = Z0 + . . . + Zn be the total number of individuals in the

first n generations, and let T = limn Tn be the total number of

individuals in the whole process. Find E(T) in the subcritical, critical

and supercritical cases

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