2.4.3 Let X have a Poisson distribution with parameter > 0. Suppose itself is random,...

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2.4.3 Let X have a Poisson distribution with parameter  > 0. Suppose  itself is random, following an exponential density with parameter .

(a) What is the marginal distribution of X?

(b) Determine the conditional density for  given X D k.

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An Introduction To Stochastic Modeling

ISBN: 9780233814162

4th Edition

Authors: Mark A. Pinsky, Samuel Karlin

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