$4\mathrm{.}14.$ For the bJI inverter circuit of Figure P$4\mathrm{.}8,$ determine and sketch the VTC $(V_{\text{O}\text{U}\text{t}}$ versus $V_{IN}).$ Let $V_{CC}=6V,R_B=20k,R_C=2k,{}_F=100,V_{BE}(FA)=V_{BE}(SAT)=0\mathrm{.}7V,$ and $V_{CE}(SAT)=0\mathrm{.}2V.$ Also, determine the noise margins.

FIGURE P$4\mathrm{.}8$