*42. (a) Show that Approximation 1 of Section 6.8 is equivalent to uniformizing the continuous-time Markov chain...

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*42.

(a) Show that Approximation 1 of Section 6.8 is equivalent to uniformizing the continuous-time Markov chain with a value õ such that vt = ç and then approximating Py{t) by P-jn.

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

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

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