But we can rewrite the event on the LHS in terms of Tk and Tk...

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But we can rewrite the event on the LHS in terms of Tk and Tk 1 Since Tk is the sum of k independent exponentials of rate A we have Tk Gamma k and similarly Tk 1 Gamma k 1 X So P N 0 t k P Tk t Tk 1 t P Tk t P Tk 1 t 1 Ax k e x k 1 dx S Xx Xx ke x k dx 7 2

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