Let (X ) and (Y ) be jointly distributed discrete random variables Their joint probability distribution is given in the following table (a) Calculate the marginal probability distribution of (X ) (b) Calculate the marginal probability distribution of (Y ) (c) Are (X ) and (Y ) independent random va...

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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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Question Posted: Mar 26, 2024 04:01 AM

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

Question:

X Y 1 2 3 4 5 f(x) 1 .02 .04 .06 .08 .05 2 .08 .02 .10 .02 .03 3 .05 .05 .03 .02 .10 4 .10 .04 .05 .03 .03 f(y)

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Introduction To Bayesian Statistics

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