The bivariate probability density function for two random va

The bivariate probability density function for two random variables X and Y equals the following: f(x,y) = 3(x²+ y)/11 for {0<x<2} and {0<y<1}; f(x,y) = 0 otherwise. Find the conditional probability that X will be greater than one given that Y is greater than 0.5; that is, find Pr(X>1 | Y>0.5).

Solution