$($a$)[8$ points$]$ Use Huffman coding to encode these symbols with given frequencies:

A: $0\mathrm{.}06,$ B: $0\mathrm{.}25,$ C: $0\mathrm{.}05,$ D: $0\mathrm{.}10,$ E: $0\mathrm{.}38,$ F: $0\mathrm{.}07,$ G: $0\mathrm{.}09.$

$($b$)[2$ points$]$ What is the average number of bits required to encode a character?