1.7. Let A0, A, and A, be the parameters of the independent exponentially distributed random variables S,,...

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1.7. Let A0, A, and A, be the parameters of the independent exponentially distributed random variables S,, S, and S,. Assume that no two of the parameters are equal.

(a) Verify that

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and evaluate in similar terms

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(b) Verify equation (1.8) in the case that n = 2 by evaluating P,(t)=Pr{X(t)=2}=Pr{So+S,+S,>t}-Pr{S0+S,>t}.

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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