Question $1(10$ points$)$

You are tasked with setting up a video Zoom meeting in your company's conference room. The conference room is equipped with a Logitech Conference Video Conference Webcam, which includes a built$-$in speakerphone. The microphone has a bandwidth of $200$ Hz to $8$ kHz $.$ The camera transmits video using a resolution of $\backslash (1280\backslash$times $720\backslash )$ pixels, with each pixel capable of displaying one of $32$ intensity values. The video is transmitted at a rate of $30$ frames per second.

a$.$ Find the video Data Rate $\backslash ($ R$(\backslash$mathrm$\{$bps$\})\backslash ).(5$ points$)$

b$.$ Assume that the Zoom conference is transmitted over a CAT$510/100$ Mbps Ethernet cable operating at $800-$MHz bandwidth and a $-35$ dB signal$-$to$-$noise ratio. Find the capacity of the channel $($bps$).(5$ points$)$

Question $2(5$ points$)$

Consider a noiseless channel with a bandwidth of $9\mathrm{.}5$ kHz transmitting a signal with four signal levels. What is the maximum bit rate, in bits per second $($bps$),$ of this channel?

Question $3(5$ points$)$

You are tasked with creating a network that has a minimum bandwidth capacity of $50$ Mbps $.$ The network channel bandwidth is $45$ MHz $.$ Assuming white thermal noise, what level of signal$-$tonoise ratio is required to maintain this data rate? Please explain your answer and discuss what your findings mean for average network users and technicians.