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7. Fermi distribution vs energy data collected at 300 and 600 K are given in the table below for a certain intrinsic semiconductor. a) Determine the Fermi Energy of this material. (5 pts) b) Determine the energies at which the probability of finding an electron is 5, 10, 20, 30, 70, 80 and 90% at 500 and 700 K. (10 pts) 300 K 600 K 600 K - continued f(E) E (V) f(E) E (EV) f(E) E (V) 0.9994 2.81 0.9994 2.62 0.4518 3.01 0.9991 2.82 0.9992 2.63 0.4045 3.02 0.9986 2.83 0.9991 2.64 0.3589 3.03 0.9980 2.84 0.9989 2.65 0.3157 3.04 0.9970 2.85 0.9986 2.66 0.2755 3.05 0.9956 2.86 0.9983 2.67 0.2386 3.06 0.9935 2.87 0.9980 2.68 0.2052 3.07 0.9905 2.88 0.9975 2.69 0.1755 3.08 0.9860 2.89 0.9970 2.70 0.1492 3.09 0.9795 2.90 0.9963 2.71 0.1263 3.10 0.9702 2.91 0.9956 2.72 0.1064 3.11 0.9567 2.92 0.9946 2.73 0.0894 3.12 0.9375 2.93 0.9935 2.74 0.0749 3.13 0.9106 2.94 0.9921 2.75 0.0625 3.14 0.8737 2.95 0.9905 2.76 0.0521 3.15 0.8245 2.96 0.9884 2.77 0.0433 3.16 0.7614 2.97 0.9860 2.78 0.0360 3.17 0.6843 2.98 0.9831 2.79 0.0298 3.18 0.5955 2.99 0.9795 2.80 0.0247 3.19 0.5000 3.00 0.9753 2.81 0.0205 3.20 0.4045 3.01 0.9702 2.82 0.0169 3.21 0.3157 3.02 0.9640 2.83 0.0140 3.22 0.2386 3.03 0.9567 2.84 0.0116 3.23 0.1755 3.04 0.9479 2.85 0.0095 3.24 0.1263 3.05 0.9375 2.86 0.0079 3.25 0.0894 3.06 0.9251 2.87 0.0065 3.26 0.0625 3.07 0.9106 2.88 0.0054 3.27 0.0433 3.08 0.8936 2.89 0.0044 3.28 0.0298 3.09 0.8737 2.90 0.0037 3.29 0.0205 3.10 0.8508 2.91 0.0030 3.30 0.0140 3.11 0.8245 2.92 0.0025 3.31 0.0095 3.12 0.7948 2.93 0.0020 3.32 0.0065 3.13 0.7614 2.94 0.0017 3.33 0.0044 3.14 0.7245 2.95 0.0014 3.34 0.0030 3.15 0.6843 2.96 0.0011 3.35 0.0020 3.16 0.6411 2.97 0.0009 3.36 0.0014 3.17 0.5955 2.98 0.0008 3.37 0.0009 3.18 0.5482 2.99 0.0006 3.38 0.0006 3.19 0.5000 3.00