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What variable is the conditional probability function a function of?

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0 $begingroup$ I've got the following excerpt from my notes in my statistics course: In the second line, the professor put $x=1$ in the Poisson distribution equation. My question, how do I know that the conditional distribution function is a function of $X_2$ , and not $X_1$ ? probability statistics conditional-probability share | cite | improve this question asked Dec 9 '18 at 20:44 The_Questioner The_Questioner 477 1 5 14 $endgroup$ ...