1.6. Suppose U and V are independent and follow the geometric distribution p(k) = p(1 - p)k...

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1.6. Suppose U and V are independent and follow the geometric distribution p(k) = p(1 - p)k fork = 0, 1, ... .

Define the random variable Z = U + V.

(a) Determine the joint probability mass function pU,Z(u, z) _ Pr{U=u,Z=z}.

(b) Determine the conditional probability mass function for U given that Z = n.

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An Introduction To Stochastic Modeling

ISBN: 9780126848878

3rd Edition

Authors: Samuel Karlin, Howard M. Taylor

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