If two random variables X and Y are independent,then P(y

Name: If two random variables X and Y are independent,then P(y | x)= P(x)and P(x | y)= P(y).
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Question

If two random variables X and Y are independent,then P(y | x)= P(x)and P(x | y)= P(y).

Quizplus · Accepted Answer

If two random variables X and Y are independent, then $P(Y | X) = P(Y)$ and $P(X | Y) = P(X)$, not $P(Y | X) = P(X)$ and $P(X | Y) = P(Y)$. Independence means the probability of one does not change given knowledge of the other.