$($b$)$ A computer$-$generated image has the intensity distribution shown in the second column of

the following table. If a natural $8-$bit binary code $($denoted as code $1$ in Table$)$ is used to

represent its four possible intensities, $L_{\text{a}\text{v}\text{g}}($the average number of bits for code $1)$ is $8$ bits,

because $l_l(r_k)=8$ bits for all $r_k.$ On the other hand, if the scheme designated as code $2$ in

Table is used, what are the resulting compression and corresponding relative redundancy?