If I have a function of a discrete random variable and a continuous random variable how can I know if the function is a continuous or discrete random variable in general?
I have a case with a X ~ exponential(1) and Y ~ geometric(1/2). To find max(X,Y) do I have to compute the max of the distribution functions i.e. max(1-e^(-x), 1-(2^(-|x|-1)))?