$($a$)$ Given xi$=\{$x$1,$ x$2,$ x$3,$ x$4,$ x$5,$ x$6\}$ with probabilities p $($xi$)=\{0\mathrm{.}3,0\mathrm{.}25,0\mathrm{.}2,0\mathrm{.}12,0\mathrm{.}08,$

$0\mathrm{.}05\}.$Make Huffman code. Find efficiency of this code.

$($b$)$ What is ZIP coding? Explain.