There are following benefits of theoretical or probability distribution
1. Where the calculation of observed distribution is not possible :-
Sometime observed base distribution's calculation is not possible due to impossibility at that place we can calculate probability distribution.
2. Helpful in forecasting :-
This probability distribution is very helpful for forecasting and on this basis we can estimate our future and make good plans for our business.
3. Helpful in Comparison :-
We can compare it with observed or real distribution and evaluate our efficiency of work.