If a wireless keyboard generates an $8-$bit character whenever a key is pressed and if the

typist can type $300$ characters a minute, find:

a$.$ The data rate of the wireless keyboard, in bits$/$second

b$.$ If the wireless keyboard uses a wireless channel $1MHz$ bandwidth$($Bluetooth$)$ and

has a $SNR=20dB,$ what is the max possible capacity?

c$.$ Is your answer in $($a$)$ less than your answer in $($b$)?$ It should be for the keyboard to

work!

d$.$ At what rate would a person need to type$($how many characters per minute$)$ to

reach the Shannon capacity for a bluetooth keyboard at $SNR=20dB?$