Fermi Level Problem, help plssss

[anils]

Fermi Level Problem, help plssss !

Find the location of the fermi level with respect to intrinsic level if the probability that a state filled at the conduction band edge is equal to the probability that a state is empty at valence band edge.

I am looking forward to your help.

 

[anils]

I think I figured out, the answer should be Ef=Ei.
But i am open to your suggestions.