Question: A discrete memoryless source emits the symbols a, b, c with probabilities 0.1, 0.4, 0.5 respec- tively. (a) Find the expected length of the best

A discrete memoryless source emits the symbols a, b, c with probabilities 0.1, 0.4, 0.5 respec-
tively.
(a) Find the expected length of the best one-to-variable prefix-free code for this source.
(b) Find the normalized expected length of the best two-to-variable prefix-free code for this
source.
(c) Is it true that for any discrete memoryless source, the two-to-variable prefix free code has
normalized expected length that is no worse than that of the best one-to-variable code?

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