- #1
EngWiPy
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Hi,
If I have a joint probability mass function [tex]p_{X,Y}(x,y)[/tex], can we get the marginal probability mass functions [tex]p_X(x)[/tex] and [tex]p_Y(y)[/tex], without any knowledge of the conditional probability function of either of them, and the probability of each event? I mean, I know that:
[tex]p_X(x)=\sum_yp_{X,Y}(x,Y=y)=\sum_yp(x/Y=y)\text{Pr}\{y\}[/tex]
But I just have [tex]p_{X,Y}(x,y)[/tex]. Can I?
Thanks
If I have a joint probability mass function [tex]p_{X,Y}(x,y)[/tex], can we get the marginal probability mass functions [tex]p_X(x)[/tex] and [tex]p_Y(y)[/tex], without any knowledge of the conditional probability function of either of them, and the probability of each event? I mean, I know that:
[tex]p_X(x)=\sum_yp_{X,Y}(x,Y=y)=\sum_yp(x/Y=y)\text{Pr}\{y\}[/tex]
But I just have [tex]p_{X,Y}(x,y)[/tex]. Can I?
Thanks