Question: 8. Consider a random variable(RV) X which takes 6 values A,B,C,D,E and F with probabilities 0.5,0.25,0.1,0.05,0.05 and 0.05 respectively with H(X)=1.98. From the source coding

8. Consider a random variable(RV) X which takes 6 values A,B,C,D,E

8. Consider a random variable(RV) X which takes 6 values A,B,C,D,E and F with probabilities 0.5,0.25,0.1,0.05,0.05 and 0.05 respectively with H(X)=1.98. From the source coding theorem the expected length of an optimal code C for the RVX will be E[L(C)][1.98,2.98). A binary Huffman code C for the RV X will have an expected length E[L(C)]=2. Can still C be the optimal code for X ? Justify

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