Question: Let S 1 be a source which outputs independent letters from the alphabet A = { a , b , c , d , e

Let S1 be a source which outputs independent letters from the alphabet A ={a, b,
c, d, e} with probabilities pa =1/8, pb =1/16 pc =1/2 pd =1/4 and pe =1/16. Let
S2 be a source which outputs independent letters from the alphabet Z ={w, x, y,
z} with probabilities pw =1/4, px =1/4 py =1/4 pz =1/4. Suppose one wants to
compress the random sequence coming out of these sources. Which source can
be compressed to shorter code in average?

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