A telephone line normally has a bandwidth of $3000$ Hz $(300$ to $3300$ Hz$)$ assigned

for data communication. The SNR is usually $3162.$ What will be the capacity for

this channel?

b Consider a random variable X which takes on the values $1,0$ and $1$ with

probabilities p$(1)=1/4,$ p$(0)=1/2,$ p$(1)=.$ Find the entropy of this random

variable.