The occupancy probability function (Eq. 41-6) can be applied to semiconductors as well as to metals. In semiconductors the Fermi energy is close to the midpoint of the gap between the valence band and the conduction band. For germanium, the gap width is 0.67 eV. What is the probability that
(a) A state at the bottom of the conduction band is occupied and
(b) A state at the top of the valence band is not occupied? Assume that T = 290 K.