If would like to transmit information at a bit rate of $500$Mbps using a CAT$-5$ twisted$-$pair

cable has a bandwidth of roughly $100$MHz$.$

A$)$ Is a signal$-$to$-$noise ratio of $30$dB enough to reliably transmit this much information?

Why or why not? $(8$ marks$)$

B$)$ What is the maximum capacity of a medium with a bandwidth of $750$KHz and a signal$-$

to$-$noise ratio of $30$dB$?(6$ marks$)$

C$)$ What is the minimum signal$-$to$-$noise ratio, in decibels, that must be maintained in order

to transmit a $600$Kbps signal over a medium with a bandwidth of $20,000$Hz$?(6$ marks$)$