Position of the Fermi level in intrinsic semiconductors. Assume that the density of states is the same

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Position of the Fermi level in intrinsic semiconductors. Assume that the density of states is the same in the conduction band (NC) and in the valence band (NV). Then, the probability p that a state is filled at the conduction band edge (EC) is equal to the probability p that a state is empty in the valence band edge (EV). Where is the Fermi level located?

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