List of top Statistics Questions on Multivariate Distributions asked in IIT JAM MS

If \((X,Y)\) is a random vector with the joint probability mass function

Let \((X,Y)\) be a random vector with the joint probability density function

Let the random variables \(X\) and \(Y\) denote the time to failure of component A and component B, respectively, of an instrument. The joint probability density function of \((X,Y)\) is given by