Pure germanium has a band gap of 0.67 eV . The Fermi energy is in the middle of the gap.

A) For temperature of 245 K calculate the probability f(E) that a state at the bottom of the conduction band is occupied.

B) For the temperature in part A, calculate the probability that a state at the top of the valence band is empty.

C) For temperature of 285 K calculate the probability f(E) that a state at the bottom of the conduction band is occupied.

D) For the temperature in part C, calculate the probability that a state at the top of the valence band is empty.

E) For temperature of 350 K calculate the probability f(E) that a state at the bottom of the conduction band is occupied.

F) For the temperature in part E, calculate the probability that a state at the top of the valence band is empty.