For the common$-$emitter amplifier shown in the figure below, let $Vc{c}^c=9V,R_1=27k,R_2=15k,R_E=1\mathrm{.}2k,$ and $R_C=2\mathrm{.}2k.$ The transistor has $={100}_{?}.$ Calculate the dc bias current Ic$.$ If the amplifier operates between a source for which $R_{\text{s}\text{i}\text{g}}=10k$ and a load of $2k{}_3,$ replace the transistor with its hybrid$-$r model $($draw the model$),$ and find the values of $R_n,R_0$ and the overall voltage gain $\frac{v_d}{v_{se}}.$