What is the probability of an electron being promoted to the conduction band in diamond at 27°C, if the bandgap is 5.6 eV wide?

$f(E)=\dfrac{1}{1+exp\Bigg[\Bigg(\dfrac{E_c-E_v}{2}\Bigg)\Bigg/{KT}\Bigg]}\ \ \ for\ insulator$ $As\ \ t=27\ ^{\circ}C\ =27+273=300\ K$ $Take\ K=1.38\times 10^{-23}\ J/k\ =86.25\times 10^{-6}\ eV$ $\therefore \ KT=0.026\ eV$ $Also\ \ E_g=\dfrac{E_c-E_v}{2}=5.6\ eV$ $\therefore f(E)=\dfrac{1}{1+exp\Bigg[\dfrac{5.6}{2\times 0.026}\Bigg]}=1.7\times 10^{-47}$

Since diamond is an insulator, very poor probablity.