Question Four Let S1 be a source which outputs independent letters from the alphabet A={a,b, c,d,e} with probabilities pa=1/8,pb=1/16pc=1/2pd=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=1/4py=1/4pz=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