Answer
$P(E) = 0.986 \approx 0.99$
Work Step by Step
For this question, given E = 5.4 eV.
Solve for P:
$e^{E_1 - E_F/kT} = \frac{(5.4 eV - 5.5eV)}{0.02353eV} = -4.25$
$ P(E) = \frac{1}{e^{-4.25} + 1}$
$P(E) = 0.986 \approx 0.99$
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