I might be able to make some hypothesis - based on my research, it's most common that mutant powers are finely correlated to personality. For example, someone with a fiery personality might develop pyrokinesis, etc.
It is also common that mutant offspring have powers similar to their parent - but a more powerful, more advanced ability. That seems to be the general pattern but as I said before, there are sometimes the outliers who have abilities completely unrelated to their parents.