What general form of the mass function of a conditional probability distribution for discrete random...

Zain Padilla

Answered question

2022-02-14

What general form of the mass function of a conditional probability distribution for discrete random variables?

Answer & Explanation

patriette65s

Beginner2022-02-15Added 15 answers

Step 1
Let X and Y be two discrete random variables. The conditional probability mass function of X given $Y=y$ is a function
${p}_{X\mid Y=y}:\mathbb{R}\to [0,1]$ such that
${p}_{X\mid Y=y}\left(x\right)=P(X=x\mid Y=y)$
for any $x\in \mathbb{R}$
where $P(X=x\mid Y=y)$ is the probability that $X=x$
given that $Y=y$