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A pure death process xt tgt0 where xt denotes the number of

A pure death process {X(t); t>=0}, where X(t) denotes the number of individuals alive at time t, starts with X(0) = 8. The lifetime of each of these individuals is exponential with mean 1/υ. (a) Solve for the probability that, after a further time T, none of these eight individuals are still alive. (b) Solve for the median time until the population dies out.

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