In this question, assume Ex is 0.2eV above EV, the bandgap is 1.1eV, and kT=0.025eV.  F(E) denotes the Fermi-Dirac function.  Give numerical answers up to 3 decimal places in the following questions. a) If EF is positioned at an energy Ex in a semiconductor, what is the probability of finding an electron in a state at an energy of Ex+kT?  [Fill in the blank], b) The probability of a state being filled at Ex+kT is equal to the probability of a state being empty at Ex+3kT.  How far is the Fermi level located above EV in eV? [Fill in the blank], eV c) It is known that F(EF + 3kT) = 1 - F(EF + x).  What is the value of x in eV?  (Hint: be careful with the sign) [Fill in the blank], eV d) Assume the equivalent density of state at the conduction band NC=3x1019cm-3.  What is the number electron density at the conduction band of the material if EF is located at 9kT below EC?  Use the scientific "e" notation in your answer if you can. [Fill in the blank], cm-3        Multiple fill-in-the-blank