Joint Distributions

Two or more random variables on one probability space: joint pmfs and densities, marginals, independence, conditional distributions, the bivariate normal, and sums by convolution.0/14 mastered

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For the joint pmf

p(x,y)

(X,Y)

\{0,1,2\}^2

given by the table with rows

x=0,1,2

and columns

y=0,1,2

\begin{array}{c|ccc} & y=0 & y=1 & y=2 \\ \hline x=0 & 1/12 & 1/12 & 2/12 \\ x=1 & 2/12 & 1/12 & 1/12 \\ x=2 & 1/12 & 2/12 & 1/12 \end{array}

Compute the conditional probability

p_{X\mid Y}(2\mid 1)

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