Question $4$

$7$ OF $7$ QUESTIONS REMAINING

A source emits symbols from a set $S=\{a,b,c,d,e\}$ with probabilities $P(a)=\frac{1}{4},P(b)=\frac{1}{16},P(c)=\frac{1}{2},P(d)=\frac{1}{8},P(e)=\frac{1}{16}.$ What is the Entropy for the source?

$($A$)0\mathrm{.}75$

$1\mathrm{.}875$

$1\mathrm{.}125$

$($D$)1\mathrm{.}5$