In an intrinsic semiconductor, the Fermi energy is about midway between the top of the valence band

Question:

In an intrinsic semiconductor, the Fermi energy is about midway between the top of the valence band and the bottom of the conduction band. In germanium, the forbidden energy band has a width of 0.7 eV. Show that at room temperature the distribution function of electrons in the conduction band is given by the Maxwell-Boltzmann distribution function.

Distribution
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