*50. (a) Show that Approximation 1 of Section 6.9 is equivalent to uniformizing the continuous-time Markov chain...

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*50.

(a) Show that Approximation 1 of Section 6.9 is equivalent to uniformizing the continuous-time Markov chain with a value v such that and then approximating by .

(b) Explain why the preceding should make a good approximation.

Hint: What is the standard deviation of a Poisson random variable with mean n?

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