1. a) Use the Fermi-Dirac distribution function with no approximations to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. b) Use the Boltzmann approximation to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. c) The % difference between a value R and a reference value Rf is determined by the following equation; % D (R-Rf) x 100% Rf Calculate the % difference between results obtained in a) and b) above using the result without the approximation as the reference value.

1. a) Use the Fermi-Dirac distribution function with no approximations to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. b) Use the Boltzmann approximation to determine the probability than an energy level at E = EF + 5kT is occupied by an electron. c) The % difference between a value R and a reference value Rf is determined by the following equation; % D (R-Rf) x 100% Rf Calculate the % difference between results obtained in a) and b) above using the result without the approximation as the reference value.