Answer
$P(E) = 2.445 \times 10^{-17}$
Work Step by Step
Given E from question = 6.4 eV
Solve for P
$e^{E_1 - E_F/kT} = e^{\frac{(6.4 eV - 5.5eV)}{0.02353eV}} = e^{38.25}$
$ P(E) = \frac{1}{e^{38.25} + 1}$
$ P(E) = \frac{1}{4.1 \times 10^{16}}$
$P(E) = 2.445 \times 10^{-17}$
