Conditional Probability Distributions
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Conditional Probability Distributions

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Questions and Answers

Which equation represents the conditional probability of A given B?

  • $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)}

    • Which equation represents the conditional probability mass function of Y, given that X=x?

  • $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)

    • What is the conditional probability mass function of Y, given that X=x?

  • $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)

    • Which equation represents the conditional probability mass function of X, given that Y=y?

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

    What is the conditional probability mass function of X, given that Y=y?

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

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