Random Seed Function

You have a function that outputs a random integer between a minimum value, $N$, and a maximum value, $M$. Call this function $X$.

Take the output from the random integer function and place it into another random function as the max value with the same min value $N$. This second function you can call $Y$.

1. What would the distribution of the samples look like?

2. What would be the expected value?