The joint probability density function of X and Y is given as f(x,y)=begincases2(x+2y)/3, & 0<x<1, 0<y<1 0, & elsewhereendcases What is the value of conditional variance of X given Y=0.5?

Q7Section I (Objective (Q1–Q80))7 of 80

Probability — conditional variance from a continuous joint pdf

The joint probability density function of $X$ and $Y$ is given as

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

What is the value of conditional variance of $X$ given $Y=0.5$ ?

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