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Problem 3 (25%) The joint probability mass function p(x, y) of the random variables X and Y is given by the following table. Find the conditional probably $P_{X|Y}(x|y)$ for all possible pair of (x,y). You can list all the probability as a table with format similar to the following table. \begin{tabular}{c|cccc} x & 0 & 1 & 2 & 3 \\ \hline 0 & 0.1681 & 0.1804 & 0.0574 & 0.0041 \\ 1 & 0.1804 & 0.1936 & 0.0616 & 0.0044 \\ 2 & 0.0574 & 0.0616 & 0.0196 & 0.0014 \\ 3 & 0.0041 & 0.0044 & 0.0014 & 0.0001 \\ \end{tabular}

          Problem 3 (25%)
The joint probability mass function p(x, y) of the random variables X and Y is
given by the following table. Find the conditional probably $P_{X|Y}(x|y)$ for all possible pair of
(x,y). You can list all the probability as a table with format similar to the following table.
\begin{tabular}{c|cccc}
 x & 0 & 1 & 2 & 3 \\
\hline
0 & 0.1681 & 0.1804 & 0.0574 & 0.0041 \\
1 & 0.1804 & 0.1936 & 0.0616 & 0.0044 \\
2 & 0.0574 & 0.0616 & 0.0196 & 0.0014 \\
3 & 0.0041 & 0.0044 & 0.0014 & 0.0001 \\
\end{tabular}

Problem 3 (25%)
The joint probability mass function p(x, y) of the random variables X and Y is
given by the following table. Find the conditional probably PX|Y(x|y) for all possible pair of
(x,y). You can list all the probability as a table with format similar to the following table.

x 0 1 2 3

0 0.1681 0.1804 0.0574 0.0041

1 0.1804 0.1936 0.0616 0.0044

2 0.0574 0.0616 0.0196 0.0014

3 0.0041 0.0044 0.0014 0.0001

Added by Kenneth D.

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