Pure germanium has a band gap of 0.67 eV . The Fermi energy is in the middle of the gap.a.) For temperature of 270 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 290 K calculate the probability f(E) that a state at the bottom of the conduction band is occupied. Express your answer using two significant figures.d.) For the temperature in part C, calculate the probability that a state at the top of the valence band is empty. Express your answer using two significant figures.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