Fermi level location when conduction edge occupancy equals valence edge vacancy

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anils
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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.
 


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