QuestionLet XX and YY be continuous random variables with joint PDF fX,Y(x,y)=2x9f_{X,Y}(x,y)=\frac{2x}{9}, 0≤x≤20\le x\le2, 1≤y≤31\le y\le3, and 00 otherwise. Find P(X<1∣Y=2)P(X<1\mid Y=2) correct to two decimal places.
