Using the appropriate distribution function, f(E) for electrons in metals, show that the probability of occupation of electrons at Fermi energy. Er for temperatures above 0 K is 0.5. If the temperature is raised to 100 K, will the probability of occupation at E, increase or remain the same? Use the distribution function to prove your answer.

Using the appropriate distribution function, f(E) for electrons in metals, show that the probability of occupation of electrons at Fermi energy. Er for temperatures above 0 K is 0.5. If the temperature is raised to 100 K, will the probability of occupation at E, increase or remain the same? Use the distribution function to prove your answer.