Let the joint p.d.f. of (X,Y) be given by f(x,y)=begincasesx^2+xy/3, & 0<x<1, 0<y<2 0, & otherwiseendcases The expression for conditional density of X given Y is

Q9Section I (Objective (Q1–Q80))9 of 80

Probability — conditional density from a continuous joint pdf

Let the joint p.d.f. of $(X,Y)$ be given by

$f(x,y)=\begin{cases}x^2+\dfrac{xy}{3}, & 0<x<1, 0<y<2\ 0, & \text{otherwise}\end{cases}$

The expression for conditional density of $X$ given $Y$ is

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