A discrete memoryless source has an alphabet $\{$a $,$ a $,$ a $,$ a $,$ a $,$ a $\}$ with correspond$-$

$123456$

ing probabilities:

$\{0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}3,0\mathrm{.}05,0\mathrm{.}15,0\mathrm{.}2\}.$

Find the entropy of this source. Compare this entropy with the entropy of a uni$-$ formly distributed source with the same alphabet.