Solution Found!
Let X and Y be discrete random variables with joint
Chapter , Problem 20(choose chapter or problem)
QUESTION:
Let \(X\) and \(Y\) be discrete random variables with joint probability mass function
\(p(x, y)=\frac{1}{e^{2} y !(x-y) !}, \quad x=0,1,2, \ldots, \quad y=0,1,2, \ldots, x\)
\(p(x, y)=0\), elsewhere. Find \(E(Y \mid X=x)\)
Questions & Answers
QUESTION:
Let \(X\) and \(Y\) be discrete random variables with joint probability mass function
\(p(x, y)=\frac{1}{e^{2} y !(x-y) !}, \quad x=0,1,2, \ldots, \quad y=0,1,2, \ldots, x\)
\(p(x, y)=0\), elsewhere. Find \(E(Y \mid X=x)\)
ANSWER:Step 1 of 3
Clearly,
where the last equality follows since is the number of subsets of a set with elements and hence is equal to .