Let (X) and (Y) be jointly distributed discrete random variables. Their joint probability distribution is given in

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Let \(X\) and \(Y\) be jointly distributed discrete random variables. Their joint probability distribution is given in the following table:

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(a) Calculate the marginal probability distribution of \(X\).
(b) Calculate the marginal probability distribution of \(Y\).
(c) Are \(X\) and \(Y\) independent random variables? Explain why or why not.
(d) Calculate the conditional probability \(P(X=3 Y=1)\).

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Introduction To Bayesian Statistics

ISBN: 9781118091562

3rd Edition

Authors: William M. Bolstad, James M. Curran

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