Consider a Yule process starting with a single individualthat is, suppose X(0) = 1. Let Ti denote

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Consider a Yule process starting with a single individual—that is, suppose X(0) = 1. Let Ti denote the time it takes the process to go from a population of size i to one of size i + 1.

(a) Argue that Ti,i = 1,..., j, are independent exponentials with respective rates iλ.

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