Answer
$P(E) = 1.40 \times 10^{-2}$
Work Step by Step
For doped silicon, Fermi level is 0.11 eV below conduction band
$ (E - E_F)/kT= \frac{0.11 eV}{0.02586eV} = 4.254$
$ P(E) = \frac{1}{e^{4.254} + 1}$
$P(E) = 1.40 \times 10^{-2}$
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