Question $4$

$15$ Points

A source emits symbols from a set S $=\{$a$,$ b$,$ c$,$ d$,$ e$\}$ with probabilities P$($a$)=1/4,$ P$($b$)=1/16,$

P$($c$)=1/2,$ P$($d$)=1/8,$ P$($e$)=1/16.$ What is the Entropy for the source?

$1\mathrm{.}5$

$1\mathrm{.}875$

$1\mathrm{.}125$

$0\mathrm{.}75$