Conditional Probability Distributions

$P(A|B) = \frac{P(A\cap B)}{P(B)} (correct)

$P(A|B) = \frac{P(A\cdot B)}{P(B)}

$P(A|B) = \frac{P(A\cup B)}{P(B)}

$P(A|B) = \frac{P(A+B)}{P(B)}

$p_{Y|X}(y|x) = \frac{P(Y=y+X=x)}{P(X=x)}

$p_{Y|X}(y|x) = \frac{P(Y=y\cup X=x)}{P(X=x)}

$p_{Y|X}(y|x) = \frac{P(Y=y\cdot X=x)}{P(X=x)}

$p_{Y|X}(y|x) = \frac{P(Y=y\cap X=x)}{P(X=x)} (correct)

$p_{Y|X}(y|x) = \frac{p_X(x)}{p_Y(y)}

$p_{Y|X}(y|x) = \frac{p(x,y)}{p_Y(y)}

$p_{Y|X}(y|x) = \frac{p(x,y)}{p_{X,Y}(x,y)}

$p_{Y|X}(y|x) = \frac{p(x,y)}{p_X(x)} (correct)

<p>$p_{X|Y}(x|y) = \frac{P(X=x\cap Y=y)}{P(Y=y)}</p> Signup and view all the answers

<p>$p_{X|Y}(x|y) = \frac{p(x,y)}{p_Y(y)}</p> Signup and view all the answers