Fermi Level Problem, help plssss

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The discussion centers on determining the Fermi level's position relative to the intrinsic level, specifically when the probability of a filled state at the conduction band edge equals the probability of an empty state at the valence band edge. The user proposes that the Fermi level (Ef) is equal to the intrinsic level (Ei). There is an invitation for further suggestions or confirmations regarding this conclusion. The conversation emphasizes the importance of understanding the relationship between the Fermi level and intrinsic energy levels in semiconductor physics. Clarification or validation of the proposed answer is sought from the community.
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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.
 
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I think I figured out, the answer should be Ef=Ei.
But i am open to your suggestions.
 

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