We have to calculate the probability that a state 0.0730 eV above the Fermi energy is occupied at (a) and (b) .

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For a gas of fermions the probability for occupation of a state of energy E at temperature T is given by the function

where is the Fermi energy.

(a)

At the probability for , and for . Therefore, the probability that a state 0.0730 eV above the Fermi energy is occupied at will be zero.

(b)

And, the probability that a state 0.0730 eV above the Fermi energy is occupied at will be